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Finding the Fourth Proportional to 6,991.81, 9,648.75 and 3,805.15

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Solution

The fourth proportional to 6,991.81, 9,648.75 and 3,805.15 is: 5,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.81 : 9,648.75 = 3,805.15 : x
  2. Step 2: Convert to fraction form
    6,991.81/9,648.75 = 3,805.15/x
  3. Step 3: Cross multiply
    6,991.81x = 9,648.75 × 3,805.15
  4. Step 4: Simplify right side
    6,991.81x = 36,714,941.06
  5. Step 5: Solve for x
    x = 36,714,941.06/6,991.81
  6. Step 6: Final answer
    x = 5,251.14

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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.