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Finding the Fourth Proportional to 10,471.76, 15,706.64 and 4,923.84

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Solution

The fourth proportional to 10,471.76, 15,706.64 and 4,923.84 is: 7,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.76 : 15,706.64 = 4,923.84 : x
  2. Step 2: Convert to fraction form
    10,471.76/15,706.64 = 4,923.84/x
  3. Step 3: Cross multiply
    10,471.76x = 15,706.64 × 4,923.84
  4. Step 4: Simplify right side
    10,471.76x = 77,336,982.30
  5. Step 5: Solve for x
    x = 77,336,982.30/10,471.76
  6. Step 6: Final answer
    x = 7,385.29

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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.