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Finding the Fourth Proportional to 10,049, 13,867.62 and 5,633

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Solution

The fourth proportional to 10,049, 13,867.62 and 5,633 is: 7,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049 : 13,867.62 = 5,633 : x
  2. Step 2: Convert to fraction form
    10,049/13,867.62 = 5,633/x
  3. Step 3: Cross multiply
    10,049x = 13,867.62 × 5,633
  4. Step 4: Simplify right side
    10,049x = 78,116,303.46
  5. Step 5: Solve for x
    x = 78,116,303.46/10,049
  6. Step 6: Final answer
    x = 7,773.54

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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.