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Finding the Fourth Proportional to 3,256.61, 4,884.53 and 916.79

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Solution

The fourth proportional to 3,256.61, 4,884.53 and 916.79 is: 1,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.61 : 4,884.53 = 916.79 : x
  2. Step 2: Convert to fraction form
    3,256.61/4,884.53 = 916.79/x
  3. Step 3: Cross multiply
    3,256.61x = 4,884.53 × 916.79
  4. Step 4: Simplify right side
    3,256.61x = 4,478,059.25
  5. Step 5: Solve for x
    x = 4,478,059.25/3,256.61
  6. Step 6: Final answer
    x = 1,375.07

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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.