Home / 1,983.52-2,734.05-1,762.12

Finding the Fourth Proportional to 1,983.52, 2,734.05 and 1,762.12

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Solution

The fourth proportional to 1,983.52, 2,734.05 and 1,762.12 is: 2,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.52 : 2,734.05 = 1,762.12 : x
  2. Step 2: Convert to fraction form
    1,983.52/2,734.05 = 1,762.12/x
  3. Step 3: Cross multiply
    1,983.52x = 2,734.05 × 1,762.12
  4. Step 4: Simplify right side
    1,983.52x = 4,817,724.19
  5. Step 5: Solve for x
    x = 4,817,724.19/1,983.52
  6. Step 6: Final answer
    x = 2,428.88

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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.