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Finding the Fourth Proportional to 39,642.72, 54,698.40 and 22,866

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Solution

The fourth proportional to 39,642.72, 54,698.40 and 22,866 is: 31,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,642.72 : 54,698.40 = 22,866 : x
  2. Step 2: Convert to fraction form
    39,642.72/54,698.40 = 22,866/x
  3. Step 3: Cross multiply
    39,642.72x = 54,698.40 × 22,866
  4. Step 4: Simplify right side
    39,642.72x = 1,250,733,614.40
  5. Step 5: Solve for x
    x = 1,250,733,614.40/39,642.72
  6. Step 6: Final answer
    x = 31,550.15

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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.