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Finding the Fourth Proportional to 14,667.60, 20,242.44 and 8,382

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Solution

The fourth proportional to 14,667.60, 20,242.44 and 8,382 is: 11,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.60 : 20,242.44 = 8,382 : x
  2. Step 2: Convert to fraction form
    14,667.60/20,242.44 = 8,382/x
  3. Step 3: Cross multiply
    14,667.60x = 20,242.44 × 8,382
  4. Step 4: Simplify right side
    14,667.60x = 169,672,132.08
  5. Step 5: Solve for x
    x = 169,672,132.08/14,667.60
  6. Step 6: Final answer
    x = 11,567.82

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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.