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Finding the Fourth Proportional to 32,947.92, 49,421.70 and 7,987.95

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Solution

The fourth proportional to 32,947.92, 49,421.70 and 7,987.95 is: 11,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.92 : 49,421.70 = 7,987.95 : x
  2. Step 2: Convert to fraction form
    32,947.92/49,421.70 = 7,987.95/x
  3. Step 3: Cross multiply
    32,947.92x = 49,421.70 × 7,987.95
  4. Step 4: Simplify right side
    32,947.92x = 394,778,068.52
  5. Step 5: Solve for x
    x = 394,778,068.52/32,947.92
  6. Step 6: Final answer
    x = 11,981.88

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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.