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Finding the Fourth Proportional to 14,762.11, 20,370.99 and 8,387.87

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Solution

The fourth proportional to 14,762.11, 20,370.99 and 8,387.87 is: 11,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.11 : 20,370.99 = 8,387.87 : x
  2. Step 2: Convert to fraction form
    14,762.11/20,370.99 = 8,387.87/x
  3. Step 3: Cross multiply
    14,762.11x = 20,370.99 × 8,387.87
  4. Step 4: Simplify right side
    14,762.11x = 170,869,173.95
  5. Step 5: Solve for x
    x = 170,869,173.95/14,762.11
  6. Step 6: Final answer
    x = 11,574.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.