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Finding the Fourth Proportional to 9,090, 13,637.52 and 2,934

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Solution

The fourth proportional to 9,090, 13,637.52 and 2,934 is: 4,401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090 : 13,637.52 = 2,934 : x
  2. Step 2: Convert to fraction form
    9,090/13,637.52 = 2,934/x
  3. Step 3: Cross multiply
    9,090x = 13,637.52 × 2,934
  4. Step 4: Simplify right side
    9,090x = 40,012,483.68
  5. Step 5: Solve for x
    x = 40,012,483.68/9,090
  6. Step 6: Final answer
    x = 4,401.81

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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.