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Finding the Fourth Proportional to 6,491.49, 9,737.23 and 1,561.13

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Solution

The fourth proportional to 6,491.49, 9,737.23 and 1,561.13 is: 2,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.49 : 9,737.23 = 1,561.13 : x
  2. Step 2: Convert to fraction form
    6,491.49/9,737.23 = 1,561.13/x
  3. Step 3: Cross multiply
    6,491.49x = 9,737.23 × 1,561.13
  4. Step 4: Simplify right side
    6,491.49x = 15,201,025.38
  5. Step 5: Solve for x
    x = 15,201,025.38/6,491.49
  6. Step 6: Final answer
    x = 2,341.69

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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.