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Finding the Fourth Proportional to 7,096.68, 10,646.10 and 3,202.20

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Solution

The fourth proportional to 7,096.68, 10,646.10 and 3,202.20 is: 4,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.68 : 10,646.10 = 3,202.20 : x
  2. Step 2: Convert to fraction form
    7,096.68/10,646.10 = 3,202.20/x
  3. Step 3: Cross multiply
    7,096.68x = 10,646.10 × 3,202.20
  4. Step 4: Simplify right side
    7,096.68x = 34,090,941.42
  5. Step 5: Solve for x
    x = 34,090,941.42/7,096.68
  6. Step 6: Final answer
    x = 4,803.79

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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.