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Finding the Fourth Proportional to 2,061.78, 3,092.64 and 522.78

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Solution

The fourth proportional to 2,061.78, 3,092.64 and 522.78 is: 784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.78 : 3,092.64 = 522.78 : x
  2. Step 2: Convert to fraction form
    2,061.78/3,092.64 = 522.78/x
  3. Step 3: Cross multiply
    2,061.78x = 3,092.64 × 522.78
  4. Step 4: Simplify right side
    2,061.78x = 1,616,770.34
  5. Step 5: Solve for x
    x = 1,616,770.34/2,061.78
  6. Step 6: Final answer
    x = 784.16

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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.