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Finding the Fourth Proportional to 3,281.60, 4,915.20 and 2,916.80

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Solution

The fourth proportional to 3,281.60, 4,915.20 and 2,916.80 is: 4,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.60 : 4,915.20 = 2,916.80 : x
  2. Step 2: Convert to fraction form
    3,281.60/4,915.20 = 2,916.80/x
  3. Step 3: Cross multiply
    3,281.60x = 4,915.20 × 2,916.80
  4. Step 4: Simplify right side
    3,281.60x = 14,336,655.36
  5. Step 5: Solve for x
    x = 14,336,655.36/3,281.60
  6. Step 6: Final answer
    x = 4,368.80

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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.