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Finding the Fourth Proportional to 9,690, 13,372.36 and 5,274

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Solution

The fourth proportional to 9,690, 13,372.36 and 5,274 is: 7,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690 : 13,372.36 = 5,274 : x
  2. Step 2: Convert to fraction form
    9,690/13,372.36 = 5,274/x
  3. Step 3: Cross multiply
    9,690x = 13,372.36 × 5,274
  4. Step 4: Simplify right side
    9,690x = 70,525,826.64
  5. Step 5: Solve for x
    x = 70,525,826.64/9,690
  6. Step 6: Final answer
    x = 7,278.21

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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.