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Finding the Fourth Proportional to 7,687.51, 11,514.86 and 5,839.49

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Solution

The fourth proportional to 7,687.51, 11,514.86 and 5,839.49 is: 8,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.51 : 11,514.86 = 5,839.49 : x
  2. Step 2: Convert to fraction form
    7,687.51/11,514.86 = 5,839.49/x
  3. Step 3: Cross multiply
    7,687.51x = 11,514.86 × 5,839.49
  4. Step 4: Simplify right side
    7,687.51x = 67,240,931.31
  5. Step 5: Solve for x
    x = 67,240,931.31/7,687.51
  6. Step 6: Final answer
    x = 8,746.78

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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.