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Finding the Fourth Proportional to 3,252.53, 4,877.96 and 912.40

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Solution

The fourth proportional to 3,252.53, 4,877.96 and 912.40 is: 1,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.53 : 4,877.96 = 912.40 : x
  2. Step 2: Convert to fraction form
    3,252.53/4,877.96 = 912.40/x
  3. Step 3: Cross multiply
    3,252.53x = 4,877.96 × 912.40
  4. Step 4: Simplify right side
    3,252.53x = 4,450,633.95
  5. Step 5: Solve for x
    x = 4,450,633.95/3,252.53
  6. Step 6: Final answer
    x = 1,368.36

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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.