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Finding the Fourth Proportional to 28,916.64, 43,362.72 and 9,189.90

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Solution

The fourth proportional to 28,916.64, 43,362.72 and 9,189.90 is: 13,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,916.64 : 43,362.72 = 9,189.90 : x
  2. Step 2: Convert to fraction form
    28,916.64/43,362.72 = 9,189.90/x
  3. Step 3: Cross multiply
    28,916.64x = 43,362.72 × 9,189.90
  4. Step 4: Simplify right side
    28,916.64x = 398,499,060.53
  5. Step 5: Solve for x
    x = 398,499,060.53/28,916.64
  6. Step 6: Final answer
    x = 13,780.96

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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.