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Finding the Fourth Proportional to 9,675.75, 13,352.69 and 5,427.76

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Solution

The fourth proportional to 9,675.75, 13,352.69 and 5,427.76 is: 7,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.75 : 13,352.69 = 5,427.76 : x
  2. Step 2: Convert to fraction form
    9,675.75/13,352.69 = 5,427.76/x
  3. Step 3: Cross multiply
    9,675.75x = 13,352.69 × 5,427.76
  4. Step 4: Simplify right side
    9,675.75x = 72,475,163.29
  5. Step 5: Solve for x
    x = 72,475,163.29/9,675.75
  6. Step 6: Final answer
    x = 7,490.39

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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.