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Finding the Fourth Proportional to 38,475, 57,712.44 and 12,181.80

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Solution

The fourth proportional to 38,475, 57,712.44 and 12,181.80 is: 18,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475 : 57,712.44 = 12,181.80 : x
  2. Step 2: Convert to fraction form
    38,475/57,712.44 = 12,181.80/x
  3. Step 3: Cross multiply
    38,475x = 57,712.44 × 12,181.80
  4. Step 4: Simplify right side
    38,475x = 703,041,401.59
  5. Step 5: Solve for x
    x = 703,041,401.59/38,475
  6. Step 6: Final answer
    x = 18,272.68

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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.