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Finding the Fourth Proportional to 9,124.68, 13,677.68 and 4,197.90

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Solution

The fourth proportional to 9,124.68, 13,677.68 and 4,197.90 is: 6,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.68 : 13,677.68 = 4,197.90 : x
  2. Step 2: Convert to fraction form
    9,124.68/13,677.68 = 4,197.90/x
  3. Step 3: Cross multiply
    9,124.68x = 13,677.68 × 4,197.90
  4. Step 4: Simplify right side
    9,124.68x = 57,417,532.87
  5. Step 5: Solve for x
    x = 57,417,532.87/9,124.68
  6. Step 6: Final answer
    x = 6,292.55

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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.