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Finding the Fourth Proportional to 6,561.60, 9,847.20 and 4,369.60

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Solution

The fourth proportional to 6,561.60, 9,847.20 and 4,369.60 is: 6,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.60 : 9,847.20 = 4,369.60 : x
  2. Step 2: Convert to fraction form
    6,561.60/9,847.20 = 4,369.60/x
  3. Step 3: Cross multiply
    6,561.60x = 9,847.20 × 4,369.60
  4. Step 4: Simplify right side
    6,561.60x = 43,028,325.12
  5. Step 5: Solve for x
    x = 43,028,325.12/6,561.60
  6. Step 6: Final answer
    x = 6,557.60

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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.