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Finding the Fourth Proportional to 6,493.62, 9,740.43 and 4,186.74

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Solution

The fourth proportional to 6,493.62, 9,740.43 and 4,186.74 is: 6,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.62 : 9,740.43 = 4,186.74 : x
  2. Step 2: Convert to fraction form
    6,493.62/9,740.43 = 4,186.74/x
  3. Step 3: Cross multiply
    6,493.62x = 9,740.43 × 4,186.74
  4. Step 4: Simplify right side
    6,493.62x = 40,780,647.90
  5. Step 5: Solve for x
    x = 40,780,647.90/6,493.62
  6. Step 6: Final answer
    x = 6,280.11

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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.