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Finding the Fourth Proportional to 10,469, 15,710.70 and 4,313

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Solution

The fourth proportional to 10,469, 15,710.70 and 4,313 is: 6,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469 : 15,710.70 = 4,313 : x
  2. Step 2: Convert to fraction form
    10,469/15,710.70 = 4,313/x
  3. Step 3: Cross multiply
    10,469x = 15,710.70 × 4,313
  4. Step 4: Simplify right side
    10,469x = 67,760,249.10
  5. Step 5: Solve for x
    x = 67,760,249.10/10,469
  6. Step 6: Final answer
    x = 6,472.47

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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.