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Finding the Fourth Proportional to 8,262.91, 11,412.12 and 5,605.71

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Solution

The fourth proportional to 8,262.91, 11,412.12 and 5,605.71 is: 7,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.91 : 11,412.12 = 5,605.71 : x
  2. Step 2: Convert to fraction form
    8,262.91/11,412.12 = 5,605.71/x
  3. Step 3: Cross multiply
    8,262.91x = 11,412.12 × 5,605.71
  4. Step 4: Simplify right side
    8,262.91x = 63,973,035.21
  5. Step 5: Solve for x
    x = 63,973,035.21/8,262.91
  6. Step 6: Final answer
    x = 7,742.19

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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.