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Finding the Fourth Proportional to 2,839.56, 4,259.70 and 991.08

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Solution

The fourth proportional to 2,839.56, 4,259.70 and 991.08 is: 1,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.56 : 4,259.70 = 991.08 : x
  2. Step 2: Convert to fraction form
    2,839.56/4,259.70 = 991.08/x
  3. Step 3: Cross multiply
    2,839.56x = 4,259.70 × 991.08
  4. Step 4: Simplify right side
    2,839.56x = 4,221,703.48
  5. Step 5: Solve for x
    x = 4,221,703.48/2,839.56
  6. Step 6: Final answer
    x = 1,486.75

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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.