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Finding the Fourth Proportional to 19,528.78, 29,294.54 and 7,842

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Solution

The fourth proportional to 19,528.78, 29,294.54 and 7,842 is: 11,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,528.78 : 29,294.54 = 7,842 : x
  2. Step 2: Convert to fraction form
    19,528.78/29,294.54 = 7,842/x
  3. Step 3: Cross multiply
    19,528.78x = 29,294.54 × 7,842
  4. Step 4: Simplify right side
    19,528.78x = 229,727,772.88
  5. Step 5: Solve for x
    x = 229,727,772.88/19,528.78
  6. Step 6: Final answer
    x = 11,763.55

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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.