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Finding the Fourth Proportional to 2,615.56, 3,924.02 and 972.27

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Solution

The fourth proportional to 2,615.56, 3,924.02 and 972.27 is: 1,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.56 : 3,924.02 = 972.27 : x
  2. Step 2: Convert to fraction form
    2,615.56/3,924.02 = 972.27/x
  3. Step 3: Cross multiply
    2,615.56x = 3,924.02 × 972.27
  4. Step 4: Simplify right side
    2,615.56x = 3,815,209.36
  5. Step 5: Solve for x
    x = 3,815,209.36/2,615.56
  6. Step 6: Final answer
    x = 1,458.66

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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.