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Finding the Fourth Proportional to 1,253.52, 1,877.80 and 1,159

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Solution

The fourth proportional to 1,253.52, 1,877.80 and 1,159 is: 1,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.52 : 1,877.80 = 1,159 : x
  2. Step 2: Convert to fraction form
    1,253.52/1,877.80 = 1,159/x
  3. Step 3: Cross multiply
    1,253.52x = 1,877.80 × 1,159
  4. Step 4: Simplify right side
    1,253.52x = 2,176,370.20
  5. Step 5: Solve for x
    x = 2,176,370.20/1,253.52
  6. Step 6: Final answer
    x = 1,736.21

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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.