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Finding the Fourth Proportional to 1,242.86, 1,864.62 and 1,106.84

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Solution

The fourth proportional to 1,242.86, 1,864.62 and 1,106.84 is: 1,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.86 : 1,864.62 = 1,106.84 : x
  2. Step 2: Convert to fraction form
    1,242.86/1,864.62 = 1,106.84/x
  3. Step 3: Cross multiply
    1,242.86x = 1,864.62 × 1,106.84
  4. Step 4: Simplify right side
    1,242.86x = 2,063,840.66
  5. Step 5: Solve for x
    x = 2,063,840.66/1,242.86
  6. Step 6: Final answer
    x = 1,660.56

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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.