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Finding the Fourth Proportional to 1,615.24, 2,418 and 1,353.88

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Solution

The fourth proportional to 1,615.24, 2,418 and 1,353.88 is: 2,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.24 : 2,418 = 1,353.88 : x
  2. Step 2: Convert to fraction form
    1,615.24/2,418 = 1,353.88/x
  3. Step 3: Cross multiply
    1,615.24x = 2,418 × 1,353.88
  4. Step 4: Simplify right side
    1,615.24x = 3,273,681.84
  5. Step 5: Solve for x
    x = 3,273,681.84/1,615.24
  6. Step 6: Final answer
    x = 2,026.75

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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.