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Finding the Fourth Proportional to 8,728.50, 12,044.52 and 5,192.58

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Solution

The fourth proportional to 8,728.50, 12,044.52 and 5,192.58 is: 7,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.50 : 12,044.52 = 5,192.58 : x
  2. Step 2: Convert to fraction form
    8,728.50/12,044.52 = 5,192.58/x
  3. Step 3: Cross multiply
    8,728.50x = 12,044.52 × 5,192.58
  4. Step 4: Simplify right side
    8,728.50x = 62,542,133.66
  5. Step 5: Solve for x
    x = 62,542,133.66/8,728.50
  6. Step 6: Final answer
    x = 7,165.28

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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.