Home / 1,471.80-2,203.56-983.92

Finding the Fourth Proportional to 1,471.80, 2,203.56 and 983.92

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Solution

The fourth proportional to 1,471.80, 2,203.56 and 983.92 is: 1,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.80 : 2,203.56 = 983.92 : x
  2. Step 2: Convert to fraction form
    1,471.80/2,203.56 = 983.92/x
  3. Step 3: Cross multiply
    1,471.80x = 2,203.56 × 983.92
  4. Step 4: Simplify right side
    1,471.80x = 2,168,126.76
  5. Step 5: Solve for x
    x = 2,168,126.76/1,471.80
  6. Step 6: Final answer
    x = 1,473.11

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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.