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Finding the Fourth Proportional to 34,071.80, 51,110.10 and 19,287.80

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Solution

The fourth proportional to 34,071.80, 51,110.10 and 19,287.80 is: 28,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071.80 : 51,110.10 = 19,287.80 : x
  2. Step 2: Convert to fraction form
    34,071.80/51,110.10 = 19,287.80/x
  3. Step 3: Cross multiply
    34,071.80x = 51,110.10 × 19,287.80
  4. Step 4: Simplify right side
    34,071.80x = 985,801,386.78
  5. Step 5: Solve for x
    x = 985,801,386.78/34,071.80
  6. Step 6: Final answer
    x = 28,933.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.