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Finding the Fourth Proportional to 2,291.66, 3,439.02 and 1,983.06

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Solution

The fourth proportional to 2,291.66, 3,439.02 and 1,983.06 is: 2,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.66 : 3,439.02 = 1,983.06 : x
  2. Step 2: Convert to fraction form
    2,291.66/3,439.02 = 1,983.06/x
  3. Step 3: Cross multiply
    2,291.66x = 3,439.02 × 1,983.06
  4. Step 4: Simplify right side
    2,291.66x = 6,819,783.00
  5. Step 5: Solve for x
    x = 6,819,783.00/2,291.66
  6. Step 6: Final answer
    x = 2,975.91

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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.