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Finding the Fourth Proportional to 6,506, 9,759.42 and 2,609.90

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Solution

The fourth proportional to 6,506, 9,759.42 and 2,609.90 is: 3,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506 : 9,759.42 = 2,609.90 : x
  2. Step 2: Convert to fraction form
    6,506/9,759.42 = 2,609.90/x
  3. Step 3: Cross multiply
    6,506x = 9,759.42 × 2,609.90
  4. Step 4: Simplify right side
    6,506x = 25,471,110.26
  5. Step 5: Solve for x
    x = 25,471,110.26/6,506
  6. Step 6: Final answer
    x = 3,915.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.