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Finding the Fourth Proportional to 18,023, 27,038.84 and 5,711

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Solution

The fourth proportional to 18,023, 27,038.84 and 5,711 is: 8,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,023 : 27,038.84 = 5,711 : x
  2. Step 2: Convert to fraction form
    18,023/27,038.84 = 5,711/x
  3. Step 3: Cross multiply
    18,023x = 27,038.84 × 5,711
  4. Step 4: Simplify right side
    18,023x = 154,418,815.24
  5. Step 5: Solve for x
    x = 154,418,815.24/18,023
  6. Step 6: Final answer
    x = 8,567.88

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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.