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Finding the Fourth Proportional to 2,646.59, 3,969.86 and 915.21

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Solution

The fourth proportional to 2,646.59, 3,969.86 and 915.21 is: 1,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.59 : 3,969.86 = 915.21 : x
  2. Step 2: Convert to fraction form
    2,646.59/3,969.86 = 915.21/x
  3. Step 3: Cross multiply
    2,646.59x = 3,969.86 × 915.21
  4. Step 4: Simplify right side
    2,646.59x = 3,633,250.99
  5. Step 5: Solve for x
    x = 3,633,250.99/2,646.59
  6. Step 6: Final answer
    x = 1,372.81

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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.