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Finding the Fourth Proportional to 5,139.45, 7,180.65 and 5,139.45

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Solution

The fourth proportional to 5,139.45, 7,180.65 and 5,139.45 is: 7,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.45 : 7,180.65 = 5,139.45 : x
  2. Step 2: Convert to fraction form
    5,139.45/7,180.65 = 5,139.45/x
  3. Step 3: Cross multiply
    5,139.45x = 7,180.65 × 5,139.45
  4. Step 4: Simplify right side
    5,139.45x = 36,904,591.64
  5. Step 5: Solve for x
    x = 36,904,591.64/5,139.45
  6. Step 6: Final answer
    x = 7,180.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.