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Finding the Fourth Proportional to 40,569, 55,985.22 and 22,905

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Solution

The fourth proportional to 40,569, 55,985.22 and 22,905 is: 31,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,569 : 55,985.22 = 22,905 : x
  2. Step 2: Convert to fraction form
    40,569/55,985.22 = 22,905/x
  3. Step 3: Cross multiply
    40,569x = 55,985.22 × 22,905
  4. Step 4: Simplify right side
    40,569x = 1,282,341,464.10
  5. Step 5: Solve for x
    x = 1,282,341,464.10/40,569
  6. Step 6: Final answer
    x = 31,608.90

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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.