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Finding the Fourth Proportional to 10,706.20, 14,772.34 and 7,347.79

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Solution

The fourth proportional to 10,706.20, 14,772.34 and 7,347.79 is: 10,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.20 : 14,772.34 = 7,347.79 : x
  2. Step 2: Convert to fraction form
    10,706.20/14,772.34 = 7,347.79/x
  3. Step 3: Cross multiply
    10,706.20x = 14,772.34 × 7,347.79
  4. Step 4: Simplify right side
    10,706.20x = 108,544,052.13
  5. Step 5: Solve for x
    x = 108,544,052.13/10,706.20
  6. Step 6: Final answer
    x = 10,138.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.