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Finding the Fourth Proportional to 1,398.12, 1,928.52 and 1,065.84

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Solution

The fourth proportional to 1,398.12, 1,928.52 and 1,065.84 is: 1,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.12 : 1,928.52 = 1,065.84 : x
  2. Step 2: Convert to fraction form
    1,398.12/1,928.52 = 1,065.84/x
  3. Step 3: Cross multiply
    1,398.12x = 1,928.52 × 1,065.84
  4. Step 4: Simplify right side
    1,398.12x = 2,055,493.76
  5. Step 5: Solve for x
    x = 2,055,493.76/1,398.12
  6. Step 6: Final answer
    x = 1,470.18

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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.