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Finding the Fourth Proportional to 6,406.02, 9,609.30 and 3,122.01

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Solution

The fourth proportional to 6,406.02, 9,609.30 and 3,122.01 is: 4,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.02 : 9,609.30 = 3,122.01 : x
  2. Step 2: Convert to fraction form
    6,406.02/9,609.30 = 3,122.01/x
  3. Step 3: Cross multiply
    6,406.02x = 9,609.30 × 3,122.01
  4. Step 4: Simplify right side
    6,406.02x = 30,000,330.69
  5. Step 5: Solve for x
    x = 30,000,330.69/6,406.02
  6. Step 6: Final answer
    x = 4,683.15

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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.