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Finding the Fourth Proportional to 12,871.46, 19,314.65 and 6,948.33

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Solution

The fourth proportional to 12,871.46, 19,314.65 and 6,948.33 is: 10,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.46 : 19,314.65 = 6,948.33 : x
  2. Step 2: Convert to fraction form
    12,871.46/19,314.65 = 6,948.33/x
  3. Step 3: Cross multiply
    12,871.46x = 19,314.65 × 6,948.33
  4. Step 4: Simplify right side
    12,871.46x = 134,204,615.62
  5. Step 5: Solve for x
    x = 134,204,615.62/12,871.46
  6. Step 6: Final answer
    x = 10,426.53

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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.