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Finding the Fourth Proportional to 12,661.74, 18,968.19 and 7,098.18

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Solution

The fourth proportional to 12,661.74, 18,968.19 and 7,098.18 is: 10,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.74 : 18,968.19 = 7,098.18 : x
  2. Step 2: Convert to fraction form
    12,661.74/18,968.19 = 7,098.18/x
  3. Step 3: Cross multiply
    12,661.74x = 18,968.19 × 7,098.18
  4. Step 4: Simplify right side
    12,661.74x = 134,639,626.89
  5. Step 5: Solve for x
    x = 134,639,626.89/12,661.74
  6. Step 6: Final answer
    x = 10,633.58

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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.