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Finding the Fourth Proportional to 12,228.62, 16,869.06 and 7,744.46

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Solution

The fourth proportional to 12,228.62, 16,869.06 and 7,744.46 is: 10,683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.62 : 16,869.06 = 7,744.46 : x
  2. Step 2: Convert to fraction form
    12,228.62/16,869.06 = 7,744.46/x
  3. Step 3: Cross multiply
    12,228.62x = 16,869.06 × 7,744.46
  4. Step 4: Simplify right side
    12,228.62x = 130,641,760.41
  5. Step 5: Solve for x
    x = 130,641,760.41/12,228.62
  6. Step 6: Final answer
    x = 10,683.28

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1.5x scale

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.