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Finding the Fourth Proportional to 8,957.87, 13,371.06 and 8,298.13

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Solution

The fourth proportional to 8,957.87, 13,371.06 and 8,298.13 is: 12,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.87 : 13,371.06 = 8,298.13 : x
  2. Step 2: Convert to fraction form
    8,957.87/13,371.06 = 8,298.13/x
  3. Step 3: Cross multiply
    8,957.87x = 13,371.06 × 8,298.13
  4. Step 4: Simplify right side
    8,957.87x = 110,954,794.12
  5. Step 5: Solve for x
    x = 110,954,794.12/8,957.87
  6. Step 6: Final answer
    x = 12,386.29

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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.