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Finding the Fourth Proportional to 7,215.60, 10,823.40 and 7,142.70

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Solution

The fourth proportional to 7,215.60, 10,823.40 and 7,142.70 is: 10,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.60 : 10,823.40 = 7,142.70 : x
  2. Step 2: Convert to fraction form
    7,215.60/10,823.40 = 7,142.70/x
  3. Step 3: Cross multiply
    7,215.60x = 10,823.40 × 7,142.70
  4. Step 4: Simplify right side
    7,215.60x = 77,308,299.18
  5. Step 5: Solve for x
    x = 77,308,299.18/7,215.60
  6. Step 6: Final answer
    x = 10,714.05

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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.