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Finding the Fourth Proportional to 13,242.90, 18,280.90 and 8,768.82

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Solution

The fourth proportional to 13,242.90, 18,280.90 and 8,768.82 is: 12,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.90 : 18,280.90 = 8,768.82 : x
  2. Step 2: Convert to fraction form
    13,242.90/18,280.90 = 8,768.82/x
  3. Step 3: Cross multiply
    13,242.90x = 18,280.90 × 8,768.82
  4. Step 4: Simplify right side
    13,242.90x = 160,301,921.54
  5. Step 5: Solve for x
    x = 160,301,921.54/13,242.90
  6. Step 6: Final answer
    x = 12,104.74

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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.