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Finding the Fourth Proportional to 3,256.70, 4,884.54 and 916.88

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Solution

The fourth proportional to 3,256.70, 4,884.54 and 916.88 is: 1,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.70 : 4,884.54 = 916.88 : x
  2. Step 2: Convert to fraction form
    3,256.70/4,884.54 = 916.88/x
  3. Step 3: Cross multiply
    3,256.70x = 4,884.54 × 916.88
  4. Step 4: Simplify right side
    3,256.70x = 4,478,537.04
  5. Step 5: Solve for x
    x = 4,478,537.04/3,256.70
  6. Step 6: Final answer
    x = 1,375.18

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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.