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Finding the Fourth Proportional to 2,103.78, 2,903.36 and 1,264.47

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Solution

The fourth proportional to 2,103.78, 2,903.36 and 1,264.47 is: 1,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.78 : 2,903.36 = 1,264.47 : x
  2. Step 2: Convert to fraction form
    2,103.78/2,903.36 = 1,264.47/x
  3. Step 3: Cross multiply
    2,103.78x = 2,903.36 × 1,264.47
  4. Step 4: Simplify right side
    2,103.78x = 3,671,211.62
  5. Step 5: Solve for x
    x = 3,671,211.62/2,103.78
  6. Step 6: Final answer
    x = 1,745.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.