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Finding the Fourth Proportional to 10,976.40, 16,472.70 and 4,407.30

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Solution

The fourth proportional to 10,976.40, 16,472.70 and 4,407.30 is: 6,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.40 : 16,472.70 = 4,407.30 : x
  2. Step 2: Convert to fraction form
    10,976.40/16,472.70 = 4,407.30/x
  3. Step 3: Cross multiply
    10,976.40x = 16,472.70 × 4,407.30
  4. Step 4: Simplify right side
    10,976.40x = 72,600,130.71
  5. Step 5: Solve for x
    x = 72,600,130.71/10,976.40
  6. Step 6: Final answer
    x = 6,614.20

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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.