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Finding the Fourth Proportional to 12,149.51, 18,187.61 and 7,981.65

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Solution

The fourth proportional to 12,149.51, 18,187.61 and 7,981.65 is: 11,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.51 : 18,187.61 = 7,981.65 : x
  2. Step 2: Convert to fraction form
    12,149.51/18,187.61 = 7,981.65/x
  3. Step 3: Cross multiply
    12,149.51x = 18,187.61 × 7,981.65
  4. Step 4: Simplify right side
    12,149.51x = 145,167,097.45
  5. Step 5: Solve for x
    x = 145,167,097.45/12,149.51
  6. Step 6: Final answer
    x = 11,948.40

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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.