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Finding the Fourth Proportional to 2,042.50, 3,061.93 and 930.78

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Solution

The fourth proportional to 2,042.50, 3,061.93 and 930.78 is: 1,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.50 : 3,061.93 = 930.78 : x
  2. Step 2: Convert to fraction form
    2,042.50/3,061.93 = 930.78/x
  3. Step 3: Cross multiply
    2,042.50x = 3,061.93 × 930.78
  4. Step 4: Simplify right side
    2,042.50x = 2,849,983.21
  5. Step 5: Solve for x
    x = 2,849,983.21/2,042.50
  6. Step 6: Final answer
    x = 1,395.34

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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.