Home / 1,535.80-2,299.14-986.32

Finding the Fourth Proportional to 1,535.80, 2,299.14 and 986.32

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Solution

The fourth proportional to 1,535.80, 2,299.14 and 986.32 is: 1,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.80 : 2,299.14 = 986.32 : x
  2. Step 2: Convert to fraction form
    1,535.80/2,299.14 = 986.32/x
  3. Step 3: Cross multiply
    1,535.80x = 2,299.14 × 986.32
  4. Step 4: Simplify right side
    1,535.80x = 2,267,687.76
  5. Step 5: Solve for x
    x = 2,267,687.76/1,535.80
  6. Step 6: Final answer
    x = 1,476.55

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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.