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Finding the Fourth Proportional to 10,045, 13,862.12 and 5,629

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Solution

The fourth proportional to 10,045, 13,862.12 and 5,629 is: 7,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045 : 13,862.12 = 5,629 : x
  2. Step 2: Convert to fraction form
    10,045/13,862.12 = 5,629/x
  3. Step 3: Cross multiply
    10,045x = 13,862.12 × 5,629
  4. Step 4: Simplify right side
    10,045x = 78,029,873.48
  5. Step 5: Solve for x
    x = 78,029,873.48/10,045
  6. Step 6: Final answer
    x = 7,768.03

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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.