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Finding the Fourth Proportional to 9,143.10, 13,714.65 and 4,769.10

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Solution

The fourth proportional to 9,143.10, 13,714.65 and 4,769.10 is: 7,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.10 : 13,714.65 = 4,769.10 : x
  2. Step 2: Convert to fraction form
    9,143.10/13,714.65 = 4,769.10/x
  3. Step 3: Cross multiply
    9,143.10x = 13,714.65 × 4,769.10
  4. Step 4: Simplify right side
    9,143.10x = 65,406,537.32
  5. Step 5: Solve for x
    x = 65,406,537.32/9,143.10
  6. Step 6: Final answer
    x = 7,153.65

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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.