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Finding the Fourth Proportional to 9,765.16, 13,475.16 and 5,515.90

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Solution

The fourth proportional to 9,765.16, 13,475.16 and 5,515.90 is: 7,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.16 : 13,475.16 = 5,515.90 : x
  2. Step 2: Convert to fraction form
    9,765.16/13,475.16 = 5,515.90/x
  3. Step 3: Cross multiply
    9,765.16x = 13,475.16 × 5,515.90
  4. Step 4: Simplify right side
    9,765.16x = 74,327,601.36
  5. Step 5: Solve for x
    x = 74,327,601.36/9,765.16
  6. Step 6: Final answer
    x = 7,611.51

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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.