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Finding the Fourth Proportional to 1,415.48, 1,952.34 and 1,393.88

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Solution

The fourth proportional to 1,415.48, 1,952.34 and 1,393.88 is: 1,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.48 : 1,952.34 = 1,393.88 : x
  2. Step 2: Convert to fraction form
    1,415.48/1,952.34 = 1,393.88/x
  3. Step 3: Cross multiply
    1,415.48x = 1,952.34 × 1,393.88
  4. Step 4: Simplify right side
    1,415.48x = 2,721,327.68
  5. Step 5: Solve for x
    x = 2,721,327.68/1,415.48
  6. Step 6: Final answer
    x = 1,922.55

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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.