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Finding the Fourth Proportional to 18,442.76, 27,664.40 and 4,591.76

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Solution

The fourth proportional to 18,442.76, 27,664.40 and 4,591.76 is: 6,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,442.76 : 27,664.40 = 4,591.76 : x
  2. Step 2: Convert to fraction form
    18,442.76/27,664.40 = 4,591.76/x
  3. Step 3: Cross multiply
    18,442.76x = 27,664.40 × 4,591.76
  4. Step 4: Simplify right side
    18,442.76x = 127,028,285.34
  5. Step 5: Solve for x
    x = 127,028,285.34/18,442.76
  6. Step 6: Final answer
    x = 6,887.70

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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.