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Finding the Fourth Proportional to 8,582.04, 12,840.02 and 7,959.96

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Solution

The fourth proportional to 8,582.04, 12,840.02 and 7,959.96 is: 11,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.04 : 12,840.02 = 7,959.96 : x
  2. Step 2: Convert to fraction form
    8,582.04/12,840.02 = 7,959.96/x
  3. Step 3: Cross multiply
    8,582.04x = 12,840.02 × 7,959.96
  4. Step 4: Simplify right side
    8,582.04x = 102,206,045.60
  5. Step 5: Solve for x
    x = 102,206,045.60/8,582.04
  6. Step 6: Final answer
    x = 11,909.29

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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.