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Finding the Fourth Proportional to 1,102.12, 1,651.86 and 840.08

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Solution

The fourth proportional to 1,102.12, 1,651.86 and 840.08 is: 1,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.12 : 1,651.86 = 840.08 : x
  2. Step 2: Convert to fraction form
    1,102.12/1,651.86 = 840.08/x
  3. Step 3: Cross multiply
    1,102.12x = 1,651.86 × 840.08
  4. Step 4: Simplify right side
    1,102.12x = 1,387,698.68
  5. Step 5: Solve for x
    x = 1,387,698.68/1,102.12
  6. Step 6: Final answer
    x = 1,259.12

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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.