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Finding the Fourth Proportional to 10,374, 15,561 and 2,582.80

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Solution

The fourth proportional to 10,374, 15,561 and 2,582.80 is: 3,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374 : 15,561 = 2,582.80 : x
  2. Step 2: Convert to fraction form
    10,374/15,561 = 2,582.80/x
  3. Step 3: Cross multiply
    10,374x = 15,561 × 2,582.80
  4. Step 4: Simplify right side
    10,374x = 40,190,950.80
  5. Step 5: Solve for x
    x = 40,190,950.80/10,374
  6. Step 6: Final answer
    x = 3,874.20

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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.