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Finding the Fourth Proportional to 6,442.81, 9,668.53 and 2,282.79

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Solution

The fourth proportional to 6,442.81, 9,668.53 and 2,282.79 is: 3,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.81 : 9,668.53 = 2,282.79 : x
  2. Step 2: Convert to fraction form
    6,442.81/9,668.53 = 2,282.79/x
  3. Step 3: Cross multiply
    6,442.81x = 9,668.53 × 2,282.79
  4. Step 4: Simplify right side
    6,442.81x = 22,071,262.71
  5. Step 5: Solve for x
    x = 22,071,262.71/6,442.81
  6. Step 6: Final answer
    x = 3,425.72

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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.