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Finding the Fourth Proportional to 1,232.03, 1,854.98 and 1,086.68

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Solution

The fourth proportional to 1,232.03, 1,854.98 and 1,086.68 is: 1,636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.03 : 1,854.98 = 1,086.68 : x
  2. Step 2: Convert to fraction form
    1,232.03/1,854.98 = 1,086.68/x
  3. Step 3: Cross multiply
    1,232.03x = 1,854.98 × 1,086.68
  4. Step 4: Simplify right side
    1,232.03x = 2,015,779.06
  5. Step 5: Solve for x
    x = 2,015,779.06/1,232.03
  6. Step 6: Final answer
    x = 1,636.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.