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Finding the Fourth Proportional to 40,290, 60,438.24 and 12,588

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Solution

The fourth proportional to 40,290, 60,438.24 and 12,588 is: 18,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,290 : 60,438.24 = 12,588 : x
  2. Step 2: Convert to fraction form
    40,290/60,438.24 = 12,588/x
  3. Step 3: Cross multiply
    40,290x = 60,438.24 × 12,588
  4. Step 4: Simplify right side
    40,290x = 760,796,565.12
  5. Step 5: Solve for x
    x = 760,796,565.12/40,290
  6. Step 6: Final answer
    x = 18,883.01

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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.