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Finding the Fourth Proportional to 12,861, 19,291.48 and 8,446.53

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Solution

The fourth proportional to 12,861, 19,291.48 and 8,446.53 is: 12,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861 : 19,291.48 = 8,446.53 : x
  2. Step 2: Convert to fraction form
    12,861/19,291.48 = 8,446.53/x
  3. Step 3: Cross multiply
    12,861x = 19,291.48 × 8,446.53
  4. Step 4: Simplify right side
    12,861x = 162,946,064.56
  5. Step 5: Solve for x
    x = 162,946,064.56/12,861
  6. Step 6: Final answer
    x = 12,669.78

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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.