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Finding the Fourth Proportional to 2,839.83, 4,259.94 and 990.71

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Solution

The fourth proportional to 2,839.83, 4,259.94 and 990.71 is: 1,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.83 : 4,259.94 = 990.71 : x
  2. Step 2: Convert to fraction form
    2,839.83/4,259.94 = 990.71/x
  3. Step 3: Cross multiply
    2,839.83x = 4,259.94 × 990.71
  4. Step 4: Simplify right side
    2,839.83x = 4,220,365.16
  5. Step 5: Solve for x
    x = 4,220,365.16/2,839.83
  6. Step 6: Final answer
    x = 1,486.13

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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.