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Finding the Fourth Proportional to 12,824.21, 17,695.41 and 7,158.66

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Solution

The fourth proportional to 12,824.21, 17,695.41 and 7,158.66 is: 9,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.21 : 17,695.41 = 7,158.66 : x
  2. Step 2: Convert to fraction form
    12,824.21/17,695.41 = 7,158.66/x
  3. Step 3: Cross multiply
    12,824.21x = 17,695.41 × 7,158.66
  4. Step 4: Simplify right side
    12,824.21x = 126,675,423.75
  5. Step 5: Solve for x
    x = 126,675,423.75/12,824.21
  6. Step 6: Final answer
    x = 9,877.84

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1.5x scale

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.