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Finding the Fourth Proportional to 28,784.22, 43,177.86 and 9,064.31

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Solution

The fourth proportional to 28,784.22, 43,177.86 and 9,064.31 is: 13,596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,784.22 : 43,177.86 = 9,064.31 : x
  2. Step 2: Convert to fraction form
    28,784.22/43,177.86 = 9,064.31/x
  3. Step 3: Cross multiply
    28,784.22x = 43,177.86 × 9,064.31
  4. Step 4: Simplify right side
    28,784.22x = 391,377,535.16
  5. Step 5: Solve for x
    x = 391,377,535.16/28,784.22
  6. Step 6: Final answer
    x = 13,596.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.