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Finding the Fourth Proportional to 14,932.07, 20,605.48 and 8,216.40

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Solution

The fourth proportional to 14,932.07, 20,605.48 and 8,216.40 is: 11,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932.07 : 20,605.48 = 8,216.40 : x
  2. Step 2: Convert to fraction form
    14,932.07/20,605.48 = 8,216.40/x
  3. Step 3: Cross multiply
    14,932.07x = 20,605.48 × 8,216.40
  4. Step 4: Simplify right side
    14,932.07x = 169,302,824.79
  5. Step 5: Solve for x
    x = 169,302,824.79/14,932.07
  6. Step 6: Final answer
    x = 11,338.20

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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.