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Finding the Fourth Proportional to 10,642.64, 14,675.10 and 7,286

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Solution

The fourth proportional to 10,642.64, 14,675.10 and 7,286 is: 10,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.64 : 14,675.10 = 7,286 : x
  2. Step 2: Convert to fraction form
    10,642.64/14,675.10 = 7,286/x
  3. Step 3: Cross multiply
    10,642.64x = 14,675.10 × 7,286
  4. Step 4: Simplify right side
    10,642.64x = 106,922,778.60
  5. Step 5: Solve for x
    x = 106,922,778.60/10,642.64
  6. Step 6: Final answer
    x = 10,046.64

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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.