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Finding the Fourth Proportional to 6,614.61, 9,129.15 and 3,962.67

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Solution

The fourth proportional to 6,614.61, 9,129.15 and 3,962.67 is: 5,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.61 : 9,129.15 = 3,962.67 : x
  2. Step 2: Convert to fraction form
    6,614.61/9,129.15 = 3,962.67/x
  3. Step 3: Cross multiply
    6,614.61x = 9,129.15 × 3,962.67
  4. Step 4: Simplify right side
    6,614.61x = 36,175,808.83
  5. Step 5: Solve for x
    x = 36,175,808.83/6,614.61
  6. Step 6: Final answer
    x = 5,469.08

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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.