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Finding the Fourth Proportional to 18,442.80, 27,665.76 and 7,913.28

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Solution

The fourth proportional to 18,442.80, 27,665.76 and 7,913.28 is: 11,870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,442.80 : 27,665.76 = 7,913.28 : x
  2. Step 2: Convert to fraction form
    18,442.80/27,665.76 = 7,913.28/x
  3. Step 3: Cross multiply
    18,442.80x = 27,665.76 × 7,913.28
  4. Step 4: Simplify right side
    18,442.80x = 218,926,905.29
  5. Step 5: Solve for x
    x = 218,926,905.29/18,442.80
  6. Step 6: Final answer
    x = 11,870.59

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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.