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Finding the Fourth Proportional to 8,538.66, 11,786.85 and 5,394.24

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Solution

The fourth proportional to 8,538.66, 11,786.85 and 5,394.24 is: 7,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.66 : 11,786.85 = 5,394.24 : x
  2. Step 2: Convert to fraction form
    8,538.66/11,786.85 = 5,394.24/x
  3. Step 3: Cross multiply
    8,538.66x = 11,786.85 × 5,394.24
  4. Step 4: Simplify right side
    8,538.66x = 63,581,097.74
  5. Step 5: Solve for x
    x = 63,581,097.74/8,538.66
  6. Step 6: Final answer
    x = 7,446.26

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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.