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Finding the Fourth Proportional to 2,040.78, 3,061.14 and 501.78

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Solution

The fourth proportional to 2,040.78, 3,061.14 and 501.78 is: 752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.78 : 3,061.14 = 501.78 : x
  2. Step 2: Convert to fraction form
    2,040.78/3,061.14 = 501.78/x
  3. Step 3: Cross multiply
    2,040.78x = 3,061.14 × 501.78
  4. Step 4: Simplify right side
    2,040.78x = 1,536,018.83
  5. Step 5: Solve for x
    x = 1,536,018.83/2,040.78
  6. Step 6: Final answer
    x = 752.66

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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.