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Finding the Fourth Proportional to 1,189.60, 1,781.80 and 981.84

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Solution

The fourth proportional to 1,189.60, 1,781.80 and 981.84 is: 1,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.60 : 1,781.80 = 981.84 : x
  2. Step 2: Convert to fraction form
    1,189.60/1,781.80 = 981.84/x
  3. Step 3: Cross multiply
    1,189.60x = 1,781.80 × 981.84
  4. Step 4: Simplify right side
    1,189.60x = 1,749,442.51
  5. Step 5: Solve for x
    x = 1,749,442.51/1,189.60
  6. Step 6: Final answer
    x = 1,470.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.