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Finding the Fourth Proportional to 7,143.40, 10,715.10 and 5,175.10

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Solution

The fourth proportional to 7,143.40, 10,715.10 and 5,175.10 is: 7,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.40 : 10,715.10 = 5,175.10 : x
  2. Step 2: Convert to fraction form
    7,143.40/10,715.10 = 5,175.10/x
  3. Step 3: Cross multiply
    7,143.40x = 10,715.10 × 5,175.10
  4. Step 4: Simplify right side
    7,143.40x = 55,451,714.01
  5. Step 5: Solve for x
    x = 55,451,714.01/7,143.40
  6. Step 6: Final answer
    x = 7,762.65

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.