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Finding the Fourth Proportional to 5,587.84, 7,718.04 and 4,177.78

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Solution

The fourth proportional to 5,587.84, 7,718.04 and 4,177.78 is: 5,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.84 : 7,718.04 = 4,177.78 : x
  2. Step 2: Convert to fraction form
    5,587.84/7,718.04 = 4,177.78/x
  3. Step 3: Cross multiply
    5,587.84x = 7,718.04 × 4,177.78
  4. Step 4: Simplify right side
    5,587.84x = 32,244,273.15
  5. Step 5: Solve for x
    x = 32,244,273.15/5,587.84
  6. Step 6: Final answer
    x = 5,770.44

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