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Finding the Fourth Proportional to 13,742.72, 18,959.78 and 8,077.72

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Solution

The fourth proportional to 13,742.72, 18,959.78 and 8,077.72 is: 11,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.72 : 18,959.78 = 8,077.72 : x
  2. Step 2: Convert to fraction form
    13,742.72/18,959.78 = 8,077.72/x
  3. Step 3: Cross multiply
    13,742.72x = 18,959.78 × 8,077.72
  4. Step 4: Simplify right side
    13,742.72x = 153,151,766.90
  5. Step 5: Solve for x
    x = 153,151,766.90/13,742.72
  6. Step 6: Final answer
    x = 11,144.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.