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Finding the Fourth Proportional to 8,582, 12,862.12 and 3,645.84

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Solution

The fourth proportional to 8,582, 12,862.12 and 3,645.84 is: 5,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582 : 12,862.12 = 3,645.84 : x
  2. Step 2: Convert to fraction form
    8,582/12,862.12 = 3,645.84/x
  3. Step 3: Cross multiply
    8,582x = 12,862.12 × 3,645.84
  4. Step 4: Simplify right side
    8,582x = 46,893,231.58
  5. Step 5: Solve for x
    x = 46,893,231.58/8,582
  6. Step 6: Final answer
    x = 5,464.14

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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.