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Finding the Fourth Proportional to 8,903.60, 12,284.76 and 5,756

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Solution

The fourth proportional to 8,903.60, 12,284.76 and 5,756 is: 7,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903.60 : 12,284.76 = 5,756 : x
  2. Step 2: Convert to fraction form
    8,903.60/12,284.76 = 5,756/x
  3. Step 3: Cross multiply
    8,903.60x = 12,284.76 × 5,756
  4. Step 4: Simplify right side
    8,903.60x = 70,711,078.56
  5. Step 5: Solve for x
    x = 70,711,078.56/8,903.60
  6. Step 6: Final answer
    x = 7,941.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.