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Finding the Fourth Proportional to 8,657.28, 12,989.76 and 3,184

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Solution

The fourth proportional to 8,657.28, 12,989.76 and 3,184 is: 4,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.28 : 12,989.76 = 3,184 : x
  2. Step 2: Convert to fraction form
    8,657.28/12,989.76 = 3,184/x
  3. Step 3: Cross multiply
    8,657.28x = 12,989.76 × 3,184
  4. Step 4: Simplify right side
    8,657.28x = 41,359,395.84
  5. Step 5: Solve for x
    x = 41,359,395.84/8,657.28
  6. Step 6: Final answer
    x = 4,777.41

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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.