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Finding the Fourth Proportional to 10,019, 13,826.86 and 5,603

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Solution

The fourth proportional to 10,019, 13,826.86 and 5,603 is: 7,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019 : 13,826.86 = 5,603 : x
  2. Step 2: Convert to fraction form
    10,019/13,826.86 = 5,603/x
  3. Step 3: Cross multiply
    10,019x = 13,826.86 × 5,603
  4. Step 4: Simplify right side
    10,019x = 77,471,896.58
  5. Step 5: Solve for x
    x = 77,471,896.58/10,019
  6. Step 6: Final answer
    x = 7,732.50

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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.