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Finding the Fourth Proportional to 5,176.76, 7,142.71 and 2,938.13

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Solution

The fourth proportional to 5,176.76, 7,142.71 and 2,938.13 is: 4,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.76 : 7,142.71 = 2,938.13 : x
  2. Step 2: Convert to fraction form
    5,176.76/7,142.71 = 2,938.13/x
  3. Step 3: Cross multiply
    5,176.76x = 7,142.71 × 2,938.13
  4. Step 4: Simplify right side
    5,176.76x = 20,986,167.47
  5. Step 5: Solve for x
    x = 20,986,167.47/5,176.76
  6. Step 6: Final answer
    x = 4,053.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.