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Finding the Fourth Proportional to 8,762.78, 13,138.00 and 4,377.14

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Solution

The fourth proportional to 8,762.78, 13,138.00 and 4,377.14 is: 6,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.78 : 13,138.00 = 4,377.14 : x
  2. Step 2: Convert to fraction form
    8,762.78/13,138.00 = 4,377.14/x
  3. Step 3: Cross multiply
    8,762.78x = 13,138.00 × 4,377.14
  4. Step 4: Simplify right side
    8,762.78x = 57,506,837.95
  5. Step 5: Solve for x
    x = 57,506,837.95/8,762.78
  6. Step 6: Final answer
    x = 6,562.62

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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.