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Finding the Fourth Proportional to 4,951.66, 7,428.78 and 2,178.88

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Solution

The fourth proportional to 4,951.66, 7,428.78 and 2,178.88 is: 3,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.66 : 7,428.78 = 2,178.88 : x
  2. Step 2: Convert to fraction form
    4,951.66/7,428.78 = 2,178.88/x
  3. Step 3: Cross multiply
    4,951.66x = 7,428.78 × 2,178.88
  4. Step 4: Simplify right side
    4,951.66x = 16,186,420.17
  5. Step 5: Solve for x
    x = 16,186,420.17/4,951.66
  6. Step 6: Final answer
    x = 3,268.89

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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.