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Finding the Fourth Proportional to 10,472.90, 15,709.70 and 5,275.94

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Solution

The fourth proportional to 10,472.90, 15,709.70 and 5,275.94 is: 7,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.90 : 15,709.70 = 5,275.94 : x
  2. Step 2: Convert to fraction form
    10,472.90/15,709.70 = 5,275.94/x
  3. Step 3: Cross multiply
    10,472.90x = 15,709.70 × 5,275.94
  4. Step 4: Simplify right side
    10,472.90x = 82,883,369.26
  5. Step 5: Solve for x
    x = 82,883,369.26/10,472.90
  6. Step 6: Final answer
    x = 7,914.08

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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.