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Finding the Fourth Proportional to 7,665.60, 11,474.10 and 5,478.60

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Solution

The fourth proportional to 7,665.60, 11,474.10 and 5,478.60 is: 8,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.60 : 11,474.10 = 5,478.60 : x
  2. Step 2: Convert to fraction form
    7,665.60/11,474.10 = 5,478.60/x
  3. Step 3: Cross multiply
    7,665.60x = 11,474.10 × 5,478.60
  4. Step 4: Simplify right side
    7,665.60x = 62,862,004.26
  5. Step 5: Solve for x
    x = 62,862,004.26/7,665.60
  6. Step 6: Final answer
    x = 8,200.53

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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.