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Finding the Fourth Proportional to 4,966, 7,451.04 and 2,191.20

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Solution

The fourth proportional to 4,966, 7,451.04 and 2,191.20 is: 3,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966 : 7,451.04 = 2,191.20 : x
  2. Step 2: Convert to fraction form
    4,966/7,451.04 = 2,191.20/x
  3. Step 3: Cross multiply
    4,966x = 7,451.04 × 2,191.20
  4. Step 4: Simplify right side
    4,966x = 16,326,718.85
  5. Step 5: Solve for x
    x = 16,326,718.85/4,966
  6. Step 6: Final answer
    x = 3,287.70

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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.