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Finding the Fourth Proportional to 13,695.66, 20,552 and 8,768.84

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Solution

The fourth proportional to 13,695.66, 20,552 and 8,768.84 is: 13,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.66 : 20,552 = 8,768.84 : x
  2. Step 2: Convert to fraction form
    13,695.66/20,552 = 8,768.84/x
  3. Step 3: Cross multiply
    13,695.66x = 20,552 × 8,768.84
  4. Step 4: Simplify right side
    13,695.66x = 180,217,199.68
  5. Step 5: Solve for x
    x = 180,217,199.68/13,695.66
  6. Step 6: Final answer
    x = 13,158.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.