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Finding the Fourth Proportional to 12,146.59, 18,219.89 and 6,948.82

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Solution

The fourth proportional to 12,146.59, 18,219.89 and 6,948.82 is: 10,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.59 : 18,219.89 = 6,948.82 : x
  2. Step 2: Convert to fraction form
    12,146.59/18,219.89 = 6,948.82/x
  3. Step 3: Cross multiply
    12,146.59x = 18,219.89 × 6,948.82
  4. Step 4: Simplify right side
    12,146.59x = 126,606,701.29
  5. Step 5: Solve for x
    x = 126,606,701.29/12,146.59
  6. Step 6: Final answer
    x = 10,423.23

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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.