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Finding the Fourth Proportional to 8,032.58, 12,047.35 and 2,187.82

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Solution

The fourth proportional to 8,032.58, 12,047.35 and 2,187.82 is: 3,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.58 : 12,047.35 = 2,187.82 : x
  2. Step 2: Convert to fraction form
    8,032.58/12,047.35 = 2,187.82/x
  3. Step 3: Cross multiply
    8,032.58x = 12,047.35 × 2,187.82
  4. Step 4: Simplify right side
    8,032.58x = 26,357,433.28
  5. Step 5: Solve for x
    x = 26,357,433.28/8,032.58
  6. Step 6: Final answer
    x = 3,281.32

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