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Finding the Fourth Proportional to 8,309.97, 12,416.29 and 8,019.28

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Solution

The fourth proportional to 8,309.97, 12,416.29 and 8,019.28 is: 11,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.97 : 12,416.29 = 8,019.28 : x
  2. Step 2: Convert to fraction form
    8,309.97/12,416.29 = 8,019.28/x
  3. Step 3: Cross multiply
    8,309.97x = 12,416.29 × 8,019.28
  4. Step 4: Simplify right side
    8,309.97x = 99,569,706.07
  5. Step 5: Solve for x
    x = 99,569,706.07/8,309.97
  6. Step 6: Final answer
    x = 11,981.96

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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.