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Finding the Fourth Proportional to 12,851.86, 17,730.20 and 8,652.82

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Solution

The fourth proportional to 12,851.86, 17,730.20 and 8,652.82 is: 11,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.86 : 17,730.20 = 8,652.82 : x
  2. Step 2: Convert to fraction form
    12,851.86/17,730.20 = 8,652.82/x
  3. Step 3: Cross multiply
    12,851.86x = 17,730.20 × 8,652.82
  4. Step 4: Simplify right side
    12,851.86x = 153,416,229.16
  5. Step 5: Solve for x
    x = 153,416,229.16/12,851.86
  6. Step 6: Final answer
    x = 11,937.28

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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.