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Finding the Fourth Proportional to 8,961.40, 12,362 and 5,325.38

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Solution

The fourth proportional to 8,961.40, 12,362 and 5,325.38 is: 7,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.40 : 12,362 = 5,325.38 : x
  2. Step 2: Convert to fraction form
    8,961.40/12,362 = 5,325.38/x
  3. Step 3: Cross multiply
    8,961.40x = 12,362 × 5,325.38
  4. Step 4: Simplify right side
    8,961.40x = 65,832,347.56
  5. Step 5: Solve for x
    x = 65,832,347.56/8,961.40
  6. Step 6: Final answer
    x = 7,346.21

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1.5x scale

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.