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Finding the Fourth Proportional to 2,644.32, 3,648.80 and 1,525

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Solution

The fourth proportional to 2,644.32, 3,648.80 and 1,525 is: 2,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.32 : 3,648.80 = 1,525 : x
  2. Step 2: Convert to fraction form
    2,644.32/3,648.80 = 1,525/x
  3. Step 3: Cross multiply
    2,644.32x = 3,648.80 × 1,525
  4. Step 4: Simplify right side
    2,644.32x = 5,564,420
  5. Step 5: Solve for x
    x = 5,564,420/2,644.32
  6. Step 6: Final answer
    x = 2,104.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.