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Finding the Fourth Proportional to 1,342.88, 1,851.36 and 1,148.48

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Solution

The fourth proportional to 1,342.88, 1,851.36 and 1,148.48 is: 1,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.88 : 1,851.36 = 1,148.48 : x
  2. Step 2: Convert to fraction form
    1,342.88/1,851.36 = 1,148.48/x
  3. Step 3: Cross multiply
    1,342.88x = 1,851.36 × 1,148.48
  4. Step 4: Simplify right side
    1,342.88x = 2,126,249.93
  5. Step 5: Solve for x
    x = 2,126,249.93/1,342.88
  6. Step 6: Final answer
    x = 1,583.35

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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.