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Finding the Fourth Proportional to 2,302.95, 3,453.20 and 915.57

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Solution

The fourth proportional to 2,302.95, 3,453.20 and 915.57 is: 1,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.95 : 3,453.20 = 915.57 : x
  2. Step 2: Convert to fraction form
    2,302.95/3,453.20 = 915.57/x
  3. Step 3: Cross multiply
    2,302.95x = 3,453.20 × 915.57
  4. Step 4: Simplify right side
    2,302.95x = 3,161,645.18
  5. Step 5: Solve for x
    x = 3,161,645.18/2,302.95
  6. Step 6: Final answer
    x = 1,372.87

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1.5x scale

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.