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Finding the Fourth Proportional to 27,155.75, 40,731.80 and 7,434.48

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Solution

The fourth proportional to 27,155.75, 40,731.80 and 7,434.48 is: 11,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,155.75 : 40,731.80 = 7,434.48 : x
  2. Step 2: Convert to fraction form
    27,155.75/40,731.80 = 7,434.48/x
  3. Step 3: Cross multiply
    27,155.75x = 40,731.80 × 7,434.48
  4. Step 4: Simplify right side
    27,155.75x = 302,819,752.46
  5. Step 5: Solve for x
    x = 302,819,752.46/27,155.75
  6. Step 6: Final answer
    x = 11,151.22

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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.