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Finding the Fourth Proportional to 8,946.54, 12,346.80 and 5,169.87

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Solution

The fourth proportional to 8,946.54, 12,346.80 and 5,169.87 is: 7,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.54 : 12,346.80 = 5,169.87 : x
  2. Step 2: Convert to fraction form
    8,946.54/12,346.80 = 5,169.87/x
  3. Step 3: Cross multiply
    8,946.54x = 12,346.80 × 5,169.87
  4. Step 4: Simplify right side
    8,946.54x = 63,831,350.92
  5. Step 5: Solve for x
    x = 63,831,350.92/8,946.54
  6. Step 6: Final answer
    x = 7,134.75

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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.