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Finding the Fourth Proportional to 3,091.33, 4,637 and 900.11

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Solution

The fourth proportional to 3,091.33, 4,637 and 900.11 is: 1,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.33 : 4,637 = 900.11 : x
  2. Step 2: Convert to fraction form
    3,091.33/4,637 = 900.11/x
  3. Step 3: Cross multiply
    3,091.33x = 4,637 × 900.11
  4. Step 4: Simplify right side
    3,091.33x = 4,173,810.07
  5. Step 5: Solve for x
    x = 4,173,810.07/3,091.33
  6. Step 6: Final answer
    x = 1,350.17

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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.