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Finding the Fourth Proportional to 15,969.49, 23,969.01 and 8,077.59

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Solution

The fourth proportional to 15,969.49, 23,969.01 and 8,077.59 is: 12,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.49 : 23,969.01 = 8,077.59 : x
  2. Step 2: Convert to fraction form
    15,969.49/23,969.01 = 8,077.59/x
  3. Step 3: Cross multiply
    15,969.49x = 23,969.01 × 8,077.59
  4. Step 4: Simplify right side
    15,969.49x = 193,611,865.78
  5. Step 5: Solve for x
    x = 193,611,865.78/15,969.49
  6. Step 6: Final answer
    x = 12,123.86

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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.