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Finding the Fourth Proportional to 6,241.40, 9,386.40 and 5,609.60

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Solution

The fourth proportional to 6,241.40, 9,386.40 and 5,609.60 is: 8,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.40 : 9,386.40 = 5,609.60 : x
  2. Step 2: Convert to fraction form
    6,241.40/9,386.40 = 5,609.60/x
  3. Step 3: Cross multiply
    6,241.40x = 9,386.40 × 5,609.60
  4. Step 4: Simplify right side
    6,241.40x = 52,653,949.44
  5. Step 5: Solve for x
    x = 52,653,949.44/6,241.40
  6. Step 6: Final answer
    x = 8,436.24

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1.5x scale

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.