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Finding the Fourth Proportional to 3,225.28, 4,837.92 and 916.72

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Solution

The fourth proportional to 3,225.28, 4,837.92 and 916.72 is: 1,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.28 : 4,837.92 = 916.72 : x
  2. Step 2: Convert to fraction form
    3,225.28/4,837.92 = 916.72/x
  3. Step 3: Cross multiply
    3,225.28x = 4,837.92 × 916.72
  4. Step 4: Simplify right side
    3,225.28x = 4,435,018.02
  5. Step 5: Solve for x
    x = 4,435,018.02/3,225.28
  6. Step 6: Final answer
    x = 1,375.08

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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.