Home / 1,400.24-1,932.23-840.43

Finding the Fourth Proportional to 1,400.24, 1,932.23 and 840.43

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Solution

The fourth proportional to 1,400.24, 1,932.23 and 840.43 is: 1,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.24 : 1,932.23 = 840.43 : x
  2. Step 2: Convert to fraction form
    1,400.24/1,932.23 = 840.43/x
  3. Step 3: Cross multiply
    1,400.24x = 1,932.23 × 840.43
  4. Step 4: Simplify right side
    1,400.24x = 1,623,904.06
  5. Step 5: Solve for x
    x = 1,623,904.06/1,400.24
  6. Step 6: Final answer
    x = 1,159.73

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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.