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Finding the Fourth Proportional to 12,182.70, 18,295.65 and 9,416.10

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Solution

The fourth proportional to 12,182.70, 18,295.65 and 9,416.10 is: 14,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.70 : 18,295.65 = 9,416.10 : x
  2. Step 2: Convert to fraction form
    12,182.70/18,295.65 = 9,416.10/x
  3. Step 3: Cross multiply
    12,182.70x = 18,295.65 × 9,416.10
  4. Step 4: Simplify right side
    12,182.70x = 172,273,669.97
  5. Step 5: Solve for x
    x = 172,273,669.97/12,182.70
  6. Step 6: Final answer
    x = 14,140.84

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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.