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Finding the Fourth Proportional to 16,212.70, 24,319.05 and 9,287.90

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Solution

The fourth proportional to 16,212.70, 24,319.05 and 9,287.90 is: 13,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.70 : 24,319.05 = 9,287.90 : x
  2. Step 2: Convert to fraction form
    16,212.70/24,319.05 = 9,287.90/x
  3. Step 3: Cross multiply
    16,212.70x = 24,319.05 × 9,287.90
  4. Step 4: Simplify right side
    16,212.70x = 225,872,904.50
  5. Step 5: Solve for x
    x = 225,872,904.50/16,212.70
  6. Step 6: Final answer
    x = 13,931.85

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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.