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Finding the Fourth Proportional to 8,291.65, 11,446.39 and 5,309.22

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Solution

The fourth proportional to 8,291.65, 11,446.39 and 5,309.22 is: 7,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.65 : 11,446.39 = 5,309.22 : x
  2. Step 2: Convert to fraction form
    8,291.65/11,446.39 = 5,309.22/x
  3. Step 3: Cross multiply
    8,291.65x = 11,446.39 × 5,309.22
  4. Step 4: Simplify right side
    8,291.65x = 60,771,402.72
  5. Step 5: Solve for x
    x = 60,771,402.72/8,291.65
  6. Step 6: Final answer
    x = 7,329.23

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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.