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Finding the Fourth Proportional to 27,023, 40,534.68 and 8,555

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Solution

The fourth proportional to 27,023, 40,534.68 and 8,555 is: 12,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,023 : 40,534.68 = 8,555 : x
  2. Step 2: Convert to fraction form
    27,023/40,534.68 = 8,555/x
  3. Step 3: Cross multiply
    27,023x = 40,534.68 × 8,555
  4. Step 4: Simplify right side
    27,023x = 346,774,187.40
  5. Step 5: Solve for x
    x = 346,774,187.40/27,023
  6. Step 6: Final answer
    x = 12,832.56

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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.