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Finding the Fourth Proportional to 4,951.64, 7,428.66 and 1,488.88

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Solution

The fourth proportional to 4,951.64, 7,428.66 and 1,488.88 is: 2,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.64 : 7,428.66 = 1,488.88 : x
  2. Step 2: Convert to fraction form
    4,951.64/7,428.66 = 1,488.88/x
  3. Step 3: Cross multiply
    4,951.64x = 7,428.66 × 1,488.88
  4. Step 4: Simplify right side
    4,951.64x = 11,060,383.30
  5. Step 5: Solve for x
    x = 11,060,383.30/4,951.64
  6. Step 6: Final answer
    x = 2,233.68

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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.