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Finding the Fourth Proportional to 6,181.60, 9,261.60 and 5,209.60

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Solution

The fourth proportional to 6,181.60, 9,261.60 and 5,209.60 is: 7,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.60 : 9,261.60 = 5,209.60 : x
  2. Step 2: Convert to fraction form
    6,181.60/9,261.60 = 5,209.60/x
  3. Step 3: Cross multiply
    6,181.60x = 9,261.60 × 5,209.60
  4. Step 4: Simplify right side
    6,181.60x = 48,249,231.36
  5. Step 5: Solve for x
    x = 48,249,231.36/6,181.60
  6. Step 6: Final answer
    x = 7,805.30

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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.