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Finding the Fourth Proportional to 39,755.69, 54,806.38 and 31,618

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Solution

The fourth proportional to 39,755.69, 54,806.38 and 31,618 is: 43,587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,755.69 : 54,806.38 = 31,618 : x
  2. Step 2: Convert to fraction form
    39,755.69/54,806.38 = 31,618/x
  3. Step 3: Cross multiply
    39,755.69x = 54,806.38 × 31,618
  4. Step 4: Simplify right side
    39,755.69x = 1,732,868,122.84
  5. Step 5: Solve for x
    x = 1,732,868,122.84/39,755.69
  6. Step 6: Final answer
    x = 43,587.93

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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.