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Finding the Fourth Proportional to 8,584.64, 12,875.88 and 2,740.76

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Solution

The fourth proportional to 8,584.64, 12,875.88 and 2,740.76 is: 4,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.64 : 12,875.88 = 2,740.76 : x
  2. Step 2: Convert to fraction form
    8,584.64/12,875.88 = 2,740.76/x
  3. Step 3: Cross multiply
    8,584.64x = 12,875.88 × 2,740.76
  4. Step 4: Simplify right side
    8,584.64x = 35,289,696.87
  5. Step 5: Solve for x
    x = 35,289,696.87/8,584.64
  6. Step 6: Final answer
    x = 4,110.80

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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.