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Finding the Fourth Proportional to 9,821, 13,552.98 and 5,405

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Solution

The fourth proportional to 9,821, 13,552.98 and 5,405 is: 7,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821 : 13,552.98 = 5,405 : x
  2. Step 2: Convert to fraction form
    9,821/13,552.98 = 5,405/x
  3. Step 3: Cross multiply
    9,821x = 13,552.98 × 5,405
  4. Step 4: Simplify right side
    9,821x = 73,253,856.90
  5. Step 5: Solve for x
    x = 73,253,856.90/9,821
  6. Step 6: Final answer
    x = 7,458.90

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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.