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Finding the Fourth Proportional to 9,702.81, 14,554.22 and 3,129.12

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Solution

The fourth proportional to 9,702.81, 14,554.22 and 3,129.12 is: 4,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.81 : 14,554.22 = 3,129.12 : x
  2. Step 2: Convert to fraction form
    9,702.81/14,554.22 = 3,129.12/x
  3. Step 3: Cross multiply
    9,702.81x = 14,554.22 × 3,129.12
  4. Step 4: Simplify right side
    9,702.81x = 45,541,885.24
  5. Step 5: Solve for x
    x = 45,541,885.24/9,702.81
  6. Step 6: Final answer
    x = 4,693.68

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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.