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Finding the Fourth Proportional to 3,287.72, 4,934.08 and 1,557.56

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Solution

The fourth proportional to 3,287.72, 4,934.08 and 1,557.56 is: 2,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.72 : 4,934.08 = 1,557.56 : x
  2. Step 2: Convert to fraction form
    3,287.72/4,934.08 = 1,557.56/x
  3. Step 3: Cross multiply
    3,287.72x = 4,934.08 × 1,557.56
  4. Step 4: Simplify right side
    3,287.72x = 7,685,125.64
  5. Step 5: Solve for x
    x = 7,685,125.64/3,287.72
  6. Step 6: Final answer
    x = 2,337.52

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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.