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Finding the Fourth Proportional to 10,090, 15,135.16 and 2,794

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Solution

The fourth proportional to 10,090, 15,135.16 and 2,794 is: 4,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090 : 15,135.16 = 2,794 : x
  2. Step 2: Convert to fraction form
    10,090/15,135.16 = 2,794/x
  3. Step 3: Cross multiply
    10,090x = 15,135.16 × 2,794
  4. Step 4: Simplify right side
    10,090x = 42,287,637.04
  5. Step 5: Solve for x
    x = 42,287,637.04/10,090
  6. Step 6: Final answer
    x = 4,191.04

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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.