Home / 1,923.31-2,884.95-536.65

Finding the Fourth Proportional to 1,923.31, 2,884.95 and 536.65

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Solution

The fourth proportional to 1,923.31, 2,884.95 and 536.65 is: 804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.31 : 2,884.95 = 536.65 : x
  2. Step 2: Convert to fraction form
    1,923.31/2,884.95 = 536.65/x
  3. Step 3: Cross multiply
    1,923.31x = 2,884.95 × 536.65
  4. Step 4: Simplify right side
    1,923.31x = 1,548,208.42
  5. Step 5: Solve for x
    x = 1,548,208.42/1,923.31
  6. Step 6: Final answer
    x = 804.97

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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.