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Finding the Fourth Proportional to 12,146.57, 18,219.86 and 9,377.28

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Solution

The fourth proportional to 12,146.57, 18,219.86 and 9,377.28 is: 14,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.57 : 18,219.86 = 9,377.28 : x
  2. Step 2: Convert to fraction form
    12,146.57/18,219.86 = 9,377.28/x
  3. Step 3: Cross multiply
    12,146.57x = 18,219.86 × 9,377.28
  4. Step 4: Simplify right side
    12,146.57x = 170,852,727.44
  5. Step 5: Solve for x
    x = 170,852,727.44/12,146.57
  6. Step 6: Final answer
    x = 14,065.93

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1.5x scale

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.