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Finding the Fourth Proportional to 22,716.64, 31,351.62 and 13,285

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Solution

The fourth proportional to 22,716.64, 31,351.62 and 13,285 is: 18,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.64 : 31,351.62 = 13,285 : x
  2. Step 2: Convert to fraction form
    22,716.64/31,351.62 = 13,285/x
  3. Step 3: Cross multiply
    22,716.64x = 31,351.62 × 13,285
  4. Step 4: Simplify right side
    22,716.64x = 416,506,271.70
  5. Step 5: Solve for x
    x = 416,506,271.70/22,716.64
  6. Step 6: Final answer
    x = 18,334.85

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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.