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Finding the Fourth Proportional to 27,160, 40,747.92 and 11,579.20

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Solution

The fourth proportional to 27,160, 40,747.92 and 11,579.20 is: 17,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,160 : 40,747.92 = 11,579.20 : x
  2. Step 2: Convert to fraction form
    27,160/40,747.92 = 11,579.20/x
  3. Step 3: Cross multiply
    27,160x = 40,747.92 × 11,579.20
  4. Step 4: Simplify right side
    27,160x = 471,828,315.26
  5. Step 5: Solve for x
    x = 471,828,315.26/27,160
  6. Step 6: Final answer
    x = 17,372.18

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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.