Home / 1,980.32-2,969.20-1,005.92

Finding the Fourth Proportional to 1,980.32, 2,969.20 and 1,005.92

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Solution

The fourth proportional to 1,980.32, 2,969.20 and 1,005.92 is: 1,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.32 : 2,969.20 = 1,005.92 : x
  2. Step 2: Convert to fraction form
    1,980.32/2,969.20 = 1,005.92/x
  3. Step 3: Cross multiply
    1,980.32x = 2,969.20 × 1,005.92
  4. Step 4: Simplify right side
    1,980.32x = 2,986,777.66
  5. Step 5: Solve for x
    x = 2,986,777.66/1,980.32
  6. Step 6: Final answer
    x = 1,508.23

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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.