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Finding the Fourth Proportional to 2,475.39, 3,712.23 and 915.06

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Solution

The fourth proportional to 2,475.39, 3,712.23 and 915.06 is: 1,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.39 : 3,712.23 = 915.06 : x
  2. Step 2: Convert to fraction form
    2,475.39/3,712.23 = 915.06/x
  3. Step 3: Cross multiply
    2,475.39x = 3,712.23 × 915.06
  4. Step 4: Simplify right side
    2,475.39x = 3,396,913.18
  5. Step 5: Solve for x
    x = 3,396,913.18/2,475.39
  6. Step 6: Final answer
    x = 1,372.27

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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.