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Finding the Fourth Proportional to 40,570, 55,986.60 and 22,906

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Solution

The fourth proportional to 40,570, 55,986.60 and 22,906 is: 31,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,570 : 55,986.60 = 22,906 : x
  2. Step 2: Convert to fraction form
    40,570/55,986.60 = 22,906/x
  3. Step 3: Cross multiply
    40,570x = 55,986.60 × 22,906
  4. Step 4: Simplify right side
    40,570x = 1,282,429,059.60
  5. Step 5: Solve for x
    x = 1,282,429,059.60/40,570
  6. Step 6: Final answer
    x = 31,610.28

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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.