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Finding the Fourth Proportional to 8,959.01, 13,348.49 and 8,456

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Solution

The fourth proportional to 8,959.01, 13,348.49 and 8,456 is: 12,599.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.01 : 13,348.49 = 8,456 : x
  2. Step 2: Convert to fraction form
    8,959.01/13,348.49 = 8,456/x
  3. Step 3: Cross multiply
    8,959.01x = 13,348.49 × 8,456
  4. Step 4: Simplify right side
    8,959.01x = 112,874,831.44
  5. Step 5: Solve for x
    x = 112,874,831.44/8,959.01
  6. Step 6: Final answer
    x = 12,599.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.