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Finding the Fourth Proportional to 8,533.97, 12,728.35 and 8,386.28

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Solution

The fourth proportional to 8,533.97, 12,728.35 and 8,386.28 is: 12,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.97 : 12,728.35 = 8,386.28 : x
  2. Step 2: Convert to fraction form
    8,533.97/12,728.35 = 8,386.28/x
  3. Step 3: Cross multiply
    8,533.97x = 12,728.35 × 8,386.28
  4. Step 4: Simplify right side
    8,533.97x = 106,743,422.43
  5. Step 5: Solve for x
    x = 106,743,422.43/8,533.97
  6. Step 6: Final answer
    x = 12,508.07

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1.5x scale

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.