Home / 1,535.06-2,118.40-871.90

Finding the Fourth Proportional to 1,535.06, 2,118.40 and 871.90

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Solution

The fourth proportional to 1,535.06, 2,118.40 and 871.90 is: 1,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.06 : 2,118.40 = 871.90 : x
  2. Step 2: Convert to fraction form
    1,535.06/2,118.40 = 871.90/x
  3. Step 3: Cross multiply
    1,535.06x = 2,118.40 × 871.90
  4. Step 4: Simplify right side
    1,535.06x = 1,847,032.96
  5. Step 5: Solve for x
    x = 1,847,032.96/1,535.06
  6. Step 6: Final answer
    x = 1,203.23

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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.