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Finding the Fourth Proportional to 40,422, 55,782.36 and 23,658.24

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Solution

The fourth proportional to 40,422, 55,782.36 and 23,658.24 is: 32,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,422 : 55,782.36 = 23,658.24 : x
  2. Step 2: Convert to fraction form
    40,422/55,782.36 = 23,658.24/x
  3. Step 3: Cross multiply
    40,422x = 55,782.36 × 23,658.24
  4. Step 4: Simplify right side
    40,422x = 1,319,712,460.65
  5. Step 5: Solve for x
    x = 1,319,712,460.65/40,422
  6. Step 6: Final answer
    x = 32,648.37

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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.