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Finding the Fourth Proportional to 9,609.78, 13,261.89 and 6,071.70

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Solution

The fourth proportional to 9,609.78, 13,261.89 and 6,071.70 is: 8,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.78 : 13,261.89 = 6,071.70 : x
  2. Step 2: Convert to fraction form
    9,609.78/13,261.89 = 6,071.70/x
  3. Step 3: Cross multiply
    9,609.78x = 13,261.89 × 6,071.70
  4. Step 4: Simplify right side
    9,609.78x = 80,522,217.51
  5. Step 5: Solve for x
    x = 80,522,217.51/9,609.78
  6. Step 6: Final answer
    x = 8,379.19

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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.