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Finding the Fourth Proportional to 4,887.61, 7,330.84 and 1,377.88

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Solution

The fourth proportional to 4,887.61, 7,330.84 and 1,377.88 is: 2,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.61 : 7,330.84 = 1,377.88 : x
  2. Step 2: Convert to fraction form
    4,887.61/7,330.84 = 1,377.88/x
  3. Step 3: Cross multiply
    4,887.61x = 7,330.84 × 1,377.88
  4. Step 4: Simplify right side
    4,887.61x = 10,101,010.93
  5. Step 5: Solve for x
    x = 10,101,010.93/4,887.61
  6. Step 6: Final answer
    x = 2,066.66

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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.