Home / 1,584.93-2,377.40-939.77

Finding the Fourth Proportional to 1,584.93, 2,377.40 and 939.77

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Solution

The fourth proportional to 1,584.93, 2,377.40 and 939.77 is: 1,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.93 : 2,377.40 = 939.77 : x
  2. Step 2: Convert to fraction form
    1,584.93/2,377.40 = 939.77/x
  3. Step 3: Cross multiply
    1,584.93x = 2,377.40 × 939.77
  4. Step 4: Simplify right side
    1,584.93x = 2,234,209.20
  5. Step 5: Solve for x
    x = 2,234,209.20/1,584.93
  6. Step 6: Final answer
    x = 1,409.66

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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.