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Finding the Fourth Proportional to 2,033.78, 3,050.48 and 647.15

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Solution

The fourth proportional to 2,033.78, 3,050.48 and 647.15 is: 970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.78 : 3,050.48 = 647.15 : x
  2. Step 2: Convert to fraction form
    2,033.78/3,050.48 = 647.15/x
  3. Step 3: Cross multiply
    2,033.78x = 3,050.48 × 647.15
  4. Step 4: Simplify right side
    2,033.78x = 1,974,099.64
  5. Step 5: Solve for x
    x = 1,974,099.64/2,033.78
  6. Step 6: Final answer
    x = 970.66

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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.