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Finding the Fourth Proportional to 2,291.95, 3,435.56 and 903.41

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Solution

The fourth proportional to 2,291.95, 3,435.56 and 903.41 is: 1,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.95 : 3,435.56 = 903.41 : x
  2. Step 2: Convert to fraction form
    2,291.95/3,435.56 = 903.41/x
  3. Step 3: Cross multiply
    2,291.95x = 3,435.56 × 903.41
  4. Step 4: Simplify right side
    2,291.95x = 3,103,719.26
  5. Step 5: Solve for x
    x = 3,103,719.26/2,291.95
  6. Step 6: Final answer
    x = 1,354.18

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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.