Home / 1,439.12-2,159.04-823.52

Finding the Fourth Proportional to 1,439.12, 2,159.04 and 823.52

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Solution

The fourth proportional to 1,439.12, 2,159.04 and 823.52 is: 1,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.12 : 2,159.04 = 823.52 : x
  2. Step 2: Convert to fraction form
    1,439.12/2,159.04 = 823.52/x
  3. Step 3: Cross multiply
    1,439.12x = 2,159.04 × 823.52
  4. Step 4: Simplify right side
    1,439.12x = 1,778,012.62
  5. Step 5: Solve for x
    x = 1,778,012.62/1,439.12
  6. Step 6: Final answer
    x = 1,235.49

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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.