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Finding the Fourth Proportional to 10,050, 13,869 and 5,634

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Solution

The fourth proportional to 10,050, 13,869 and 5,634 is: 7,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050 : 13,869 = 5,634 : x
  2. Step 2: Convert to fraction form
    10,050/13,869 = 5,634/x
  3. Step 3: Cross multiply
    10,050x = 13,869 × 5,634
  4. Step 4: Simplify right side
    10,050x = 78,137,946
  5. Step 5: Solve for x
    x = 78,137,946/10,050
  6. Step 6: Final answer
    x = 7,774.92

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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.