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Finding the Fourth Proportional to 1,548.52, 2,135.97 and 988.40

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Solution

The fourth proportional to 1,548.52, 2,135.97 and 988.40 is: 1,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.52 : 2,135.97 = 988.40 : x
  2. Step 2: Convert to fraction form
    1,548.52/2,135.97 = 988.40/x
  3. Step 3: Cross multiply
    1,548.52x = 2,135.97 × 988.40
  4. Step 4: Simplify right side
    1,548.52x = 2,111,198.09
  5. Step 5: Solve for x
    x = 2,111,198.09/1,548.52
  6. Step 6: Final answer
    x = 1,363.37

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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.