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Finding the Fourth Proportional to 25,587, 38,380.53 and 9,993.69

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Solution

The fourth proportional to 25,587, 38,380.53 and 9,993.69 is: 14,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,587 : 38,380.53 = 9,993.69 : x
  2. Step 2: Convert to fraction form
    25,587/38,380.53 = 9,993.69/x
  3. Step 3: Cross multiply
    25,587x = 38,380.53 × 9,993.69
  4. Step 4: Simplify right side
    25,587x = 383,563,118.86
  5. Step 5: Solve for x
    x = 383,563,118.86/25,587
  6. Step 6: Final answer
    x = 14,990.55

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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.