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Finding the Fourth Proportional to 10,019.88, 13,833 and 6,042

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Solution

The fourth proportional to 10,019.88, 13,833 and 6,042 is: 8,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.88 : 13,833 = 6,042 : x
  2. Step 2: Convert to fraction form
    10,019.88/13,833 = 6,042/x
  3. Step 3: Cross multiply
    10,019.88x = 13,833 × 6,042
  4. Step 4: Simplify right side
    10,019.88x = 83,578,986
  5. Step 5: Solve for x
    x = 83,578,986/10,019.88
  6. Step 6: Final answer
    x = 8,341.32

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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.