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Finding the Fourth Proportional to 6,365.99, 9,549.90 and 3,078.20

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Solution

The fourth proportional to 6,365.99, 9,549.90 and 3,078.20 is: 4,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.99 : 9,549.90 = 3,078.20 : x
  2. Step 2: Convert to fraction form
    6,365.99/9,549.90 = 3,078.20/x
  3. Step 3: Cross multiply
    6,365.99x = 9,549.90 × 3,078.20
  4. Step 4: Simplify right side
    6,365.99x = 29,396,526.05
  5. Step 5: Solve for x
    x = 29,396,526.05/6,365.99
  6. Step 6: Final answer
    x = 4,617.74

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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.