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Finding the Fourth Proportional to 1,253.84, 1,888.08 and 1,101.44

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Solution

The fourth proportional to 1,253.84, 1,888.08 and 1,101.44 is: 1,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.84 : 1,888.08 = 1,101.44 : x
  2. Step 2: Convert to fraction form
    1,253.84/1,888.08 = 1,101.44/x
  3. Step 3: Cross multiply
    1,253.84x = 1,888.08 × 1,101.44
  4. Step 4: Simplify right side
    1,253.84x = 2,079,606.84
  5. Step 5: Solve for x
    x = 2,079,606.84/1,253.84
  6. Step 6: Final answer
    x = 1,658.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.