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Finding the Fourth Proportional to 9,602.20, 14,400.90 and 3,677.80

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Solution

The fourth proportional to 9,602.20, 14,400.90 and 3,677.80 is: 5,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.20 : 14,400.90 = 3,677.80 : x
  2. Step 2: Convert to fraction form
    9,602.20/14,400.90 = 3,677.80/x
  3. Step 3: Cross multiply
    9,602.20x = 14,400.90 × 3,677.80
  4. Step 4: Simplify right side
    9,602.20x = 52,963,630.02
  5. Step 5: Solve for x
    x = 52,963,630.02/9,602.20
  6. Step 6: Final answer
    x = 5,515.78

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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.