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Finding the Fourth Proportional to 10,708, 14,760.84 and 9,207.88

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Solution

The fourth proportional to 10,708, 14,760.84 and 9,207.88 is: 12,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708 : 14,760.84 = 9,207.88 : x
  2. Step 2: Convert to fraction form
    10,708/14,760.84 = 9,207.88/x
  3. Step 3: Cross multiply
    10,708x = 14,760.84 × 9,207.88
  4. Step 4: Simplify right side
    10,708x = 135,916,043.42
  5. Step 5: Solve for x
    x = 135,916,043.42/10,708
  6. Step 6: Final answer
    x = 12,692.94

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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.