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Finding the Fourth Proportional to 5,387, 7,434.56 and 2,997.76

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Solution

The fourth proportional to 5,387, 7,434.56 and 2,997.76 is: 4,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387 : 7,434.56 = 2,997.76 : x
  2. Step 2: Convert to fraction form
    5,387/7,434.56 = 2,997.76/x
  3. Step 3: Cross multiply
    5,387x = 7,434.56 × 2,997.76
  4. Step 4: Simplify right side
    5,387x = 22,287,026.59
  5. Step 5: Solve for x
    x = 22,287,026.59/5,387
  6. Step 6: Final answer
    x = 4,137.19

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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.