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Finding the Fourth Proportional to 27,159, 40,746.42 and 11,578.20

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Solution

The fourth proportional to 27,159, 40,746.42 and 11,578.20 is: 17,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,159 : 40,746.42 = 11,578.20 : x
  2. Step 2: Convert to fraction form
    27,159/40,746.42 = 11,578.20/x
  3. Step 3: Cross multiply
    27,159x = 40,746.42 × 11,578.20
  4. Step 4: Simplify right side
    27,159x = 471,770,200.04
  5. Step 5: Solve for x
    x = 471,770,200.04/27,159
  6. Step 6: Final answer
    x = 17,370.68

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1.5x scale

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.