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Finding the Fourth Proportional to 6,438.81, 9,658.22 and 2,975.61

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Solution

The fourth proportional to 6,438.81, 9,658.22 and 2,975.61 is: 4,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.81 : 9,658.22 = 2,975.61 : x
  2. Step 2: Convert to fraction form
    6,438.81/9,658.22 = 2,975.61/x
  3. Step 3: Cross multiply
    6,438.81x = 9,658.22 × 2,975.61
  4. Step 4: Simplify right side
    6,438.81x = 28,739,081.14
  5. Step 5: Solve for x
    x = 28,739,081.14/6,438.81
  6. Step 6: Final answer
    x = 4,463.42

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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.