Home / 10,090-13,913.67-6,109.66

Finding the Fourth Proportional to 10,090, 13,913.67 and 6,109.66

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Solution

The fourth proportional to 10,090, 13,913.67 and 6,109.66 is: 8,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090 : 13,913.67 = 6,109.66 : x
  2. Step 2: Convert to fraction form
    10,090/13,913.67 = 6,109.66/x
  3. Step 3: Cross multiply
    10,090x = 13,913.67 × 6,109.66
  4. Step 4: Simplify right side
    10,090x = 85,007,793.05
  5. Step 5: Solve for x
    x = 85,007,793.05/10,090
  6. Step 6: Final answer
    x = 8,424.95

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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.