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Finding the Fourth Proportional to 32,947.53, 49,420.85 and 7,987.80

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Solution

The fourth proportional to 32,947.53, 49,420.85 and 7,987.80 is: 11,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.53 : 49,420.85 = 7,987.80 : x
  2. Step 2: Convert to fraction form
    32,947.53/49,420.85 = 7,987.80/x
  3. Step 3: Cross multiply
    32,947.53x = 49,420.85 × 7,987.80
  4. Step 4: Simplify right side
    32,947.53x = 394,763,777.96
  5. Step 5: Solve for x
    x = 394,763,777.96/32,947.53
  6. Step 6: Final answer
    x = 11,981.59

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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.