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Finding the Fourth Proportional to 12,373.74, 18,556 and 5,354.78

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Solution

The fourth proportional to 12,373.74, 18,556 and 5,354.78 is: 8,030.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.74 : 18,556 = 5,354.78 : x
  2. Step 2: Convert to fraction form
    12,373.74/18,556 = 5,354.78/x
  3. Step 3: Cross multiply
    12,373.74x = 18,556 × 5,354.78
  4. Step 4: Simplify right side
    12,373.74x = 99,363,297.68
  5. Step 5: Solve for x
    x = 99,363,297.68/12,373.74
  6. Step 6: Final answer
    x = 8,030.18

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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.