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Finding the Fourth Proportional to 2,214.87, 3,321.49 and 915.63

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Solution

The fourth proportional to 2,214.87, 3,321.49 and 915.63 is: 1,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.87 : 3,321.49 = 915.63 : x
  2. Step 2: Convert to fraction form
    2,214.87/3,321.49 = 915.63/x
  3. Step 3: Cross multiply
    2,214.87x = 3,321.49 × 915.63
  4. Step 4: Simplify right side
    2,214.87x = 3,041,255.89
  5. Step 5: Solve for x
    x = 3,041,255.89/2,214.87
  6. Step 6: Final answer
    x = 1,373.11

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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.