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Finding the Fourth Proportional to 14,665.88, 20,240.16 and 8,378.12

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Solution

The fourth proportional to 14,665.88, 20,240.16 and 8,378.12 is: 11,562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.88 : 20,240.16 = 8,378.12 : x
  2. Step 2: Convert to fraction form
    14,665.88/20,240.16 = 8,378.12/x
  3. Step 3: Cross multiply
    14,665.88x = 20,240.16 × 8,378.12
  4. Step 4: Simplify right side
    14,665.88x = 169,574,489.30
  5. Step 5: Solve for x
    x = 169,574,489.30/14,665.88
  6. Step 6: Final answer
    x = 11,562.52

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1.5x scale

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.