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Finding the Fourth Proportional to 10,039, 13,853.82 and 5,623

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Solution

The fourth proportional to 10,039, 13,853.82 and 5,623 is: 7,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039 : 13,853.82 = 5,623 : x
  2. Step 2: Convert to fraction form
    10,039/13,853.82 = 5,623/x
  3. Step 3: Cross multiply
    10,039x = 13,853.82 × 5,623
  4. Step 4: Simplify right side
    10,039x = 77,900,029.86
  5. Step 5: Solve for x
    x = 77,900,029.86/10,039
  6. Step 6: Final answer
    x = 7,759.74

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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.