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Finding the Fourth Proportional to 7,242.24, 9,919.17 and 6,816.60

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Solution

The fourth proportional to 7,242.24, 9,919.17 and 6,816.60 is: 9,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.24 : 9,919.17 = 6,816.60 : x
  2. Step 2: Convert to fraction form
    7,242.24/9,919.17 = 6,816.60/x
  3. Step 3: Cross multiply
    7,242.24x = 9,919.17 × 6,816.60
  4. Step 4: Simplify right side
    7,242.24x = 67,615,014.22
  5. Step 5: Solve for x
    x = 67,615,014.22/7,242.24
  6. Step 6: Final answer
    x = 9,336.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.