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Finding the Fourth Proportional to 1,298.51, 1,793.21 and 1,110.92

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Solution

The fourth proportional to 1,298.51, 1,793.21 and 1,110.92 is: 1,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.51 : 1,793.21 = 1,110.92 : x
  2. Step 2: Convert to fraction form
    1,298.51/1,793.21 = 1,110.92/x
  3. Step 3: Cross multiply
    1,298.51x = 1,793.21 × 1,110.92
  4. Step 4: Simplify right side
    1,298.51x = 1,992,098.33
  5. Step 5: Solve for x
    x = 1,992,098.33/1,298.51
  6. Step 6: Final answer
    x = 1,534.15

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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.