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Finding the Fourth Proportional to 27,108.86, 40,659.18 and 7,389

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Solution

The fourth proportional to 27,108.86, 40,659.18 and 7,389 is: 11,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108.86 : 40,659.18 = 7,389 : x
  2. Step 2: Convert to fraction form
    27,108.86/40,659.18 = 7,389/x
  3. Step 3: Cross multiply
    27,108.86x = 40,659.18 × 7,389
  4. Step 4: Simplify right side
    27,108.86x = 300,430,681.02
  5. Step 5: Solve for x
    x = 300,430,681.02/27,108.86
  6. Step 6: Final answer
    x = 11,082.38

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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.