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Finding the Fourth Proportional to 19,842.78, 29,764.20 and 7,530.78

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Solution

The fourth proportional to 19,842.78, 29,764.20 and 7,530.78 is: 11,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.78 : 29,764.20 = 7,530.78 : x
  2. Step 2: Convert to fraction form
    19,842.78/29,764.20 = 7,530.78/x
  3. Step 3: Cross multiply
    19,842.78x = 29,764.20 × 7,530.78
  4. Step 4: Simplify right side
    19,842.78x = 224,147,642.08
  5. Step 5: Solve for x
    x = 224,147,642.08/19,842.78
  6. Step 6: Final answer
    x = 11,296.18

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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.