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Finding the Fourth Proportional to 8,582.81, 12,852.32 and 4,188.75

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Solution

The fourth proportional to 8,582.81, 12,852.32 and 4,188.75 is: 6,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.81 : 12,852.32 = 4,188.75 : x
  2. Step 2: Convert to fraction form
    8,582.81/12,852.32 = 4,188.75/x
  3. Step 3: Cross multiply
    8,582.81x = 12,852.32 × 4,188.75
  4. Step 4: Simplify right side
    8,582.81x = 53,835,134.46
  5. Step 5: Solve for x
    x = 53,835,134.46/8,582.81
  6. Step 6: Final answer
    x = 6,272.44

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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.