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Finding the Fourth Proportional to 14,931.27, 20,605.46 and 8,217.45

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Solution

The fourth proportional to 14,931.27, 20,605.46 and 8,217.45 is: 11,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,931.27 : 20,605.46 = 8,217.45 : x
  2. Step 2: Convert to fraction form
    14,931.27/20,605.46 = 8,217.45/x
  3. Step 3: Cross multiply
    14,931.27x = 20,605.46 × 8,217.45
  4. Step 4: Simplify right side
    14,931.27x = 169,324,296.19
  5. Step 5: Solve for x
    x = 169,324,296.19/14,931.27
  6. Step 6: Final answer
    x = 11,340.25

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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.