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Finding the Fourth Proportional to 13,658.96, 18,851.16 and 7,691.78

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Solution

The fourth proportional to 13,658.96, 18,851.16 and 7,691.78 is: 10,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.96 : 18,851.16 = 7,691.78 : x
  2. Step 2: Convert to fraction form
    13,658.96/18,851.16 = 7,691.78/x
  3. Step 3: Cross multiply
    13,658.96x = 18,851.16 × 7,691.78
  4. Step 4: Simplify right side
    13,658.96x = 144,998,975.46
  5. Step 5: Solve for x
    x = 144,998,975.46/13,658.96
  6. Step 6: Final answer
    x = 10,615.67

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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.