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Finding the Fourth Proportional to 10,003.80, 14,984.10 and 8,909.40

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Solution

The fourth proportional to 10,003.80, 14,984.10 and 8,909.40 is: 13,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.80 : 14,984.10 = 8,909.40 : x
  2. Step 2: Convert to fraction form
    10,003.80/14,984.10 = 8,909.40/x
  3. Step 3: Cross multiply
    10,003.80x = 14,984.10 × 8,909.40
  4. Step 4: Simplify right side
    10,003.80x = 133,499,340.54
  5. Step 5: Solve for x
    x = 133,499,340.54/10,003.80
  6. Step 6: Final answer
    x = 13,344.86

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1.5x scale

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.