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Finding the Fourth Proportional to 19,358.25, 29,040.42 and 8,265

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Solution

The fourth proportional to 19,358.25, 29,040.42 and 8,265 is: 12,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,358.25 : 29,040.42 = 8,265 : x
  2. Step 2: Convert to fraction form
    19,358.25/29,040.42 = 8,265/x
  3. Step 3: Cross multiply
    19,358.25x = 29,040.42 × 8,265
  4. Step 4: Simplify right side
    19,358.25x = 240,019,071.30
  5. Step 5: Solve for x
    x = 240,019,071.30/19,358.25
  6. Step 6: Final answer
    x = 12,398.80

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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.