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Finding the Fourth Proportional to 5,273, 7,909.68 and 1,761.92

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Solution

The fourth proportional to 5,273, 7,909.68 and 1,761.92 is: 2,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273 : 7,909.68 = 1,761.92 : x
  2. Step 2: Convert to fraction form
    5,273/7,909.68 = 1,761.92/x
  3. Step 3: Cross multiply
    5,273x = 7,909.68 × 1,761.92
  4. Step 4: Simplify right side
    5,273x = 13,936,223.39
  5. Step 5: Solve for x
    x = 13,936,223.39/5,273
  6. Step 6: Final answer
    x = 2,642.94

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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.