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Finding the Fourth Proportional to 1,647.48, 2,469.60 and 915.55

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Solution

The fourth proportional to 1,647.48, 2,469.60 and 915.55 is: 1,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.48 : 2,469.60 = 915.55 : x
  2. Step 2: Convert to fraction form
    1,647.48/2,469.60 = 915.55/x
  3. Step 3: Cross multiply
    1,647.48x = 2,469.60 × 915.55
  4. Step 4: Simplify right side
    1,647.48x = 2,261,036.11
  5. Step 5: Solve for x
    x = 2,261,036.11/1,647.48
  6. Step 6: Final answer
    x = 1,372.42

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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.