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Finding the Fourth Proportional to 3,380.16, 5,070.57 and 915.00

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Solution

The fourth proportional to 3,380.16, 5,070.57 and 915.00 is: 1,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.16 : 5,070.57 = 915.00 : x
  2. Step 2: Convert to fraction form
    3,380.16/5,070.57 = 915.00/x
  3. Step 3: Cross multiply
    3,380.16x = 5,070.57 × 915.00
  4. Step 4: Simplify right side
    3,380.16x = 4,639,549.10
  5. Step 5: Solve for x
    x = 4,639,549.10/3,380.16
  6. Step 6: Final answer
    x = 1,372.58

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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.