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Finding the Fourth Proportional to 6,403.81, 9,606.62 and 2,021.62

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Solution

The fourth proportional to 6,403.81, 9,606.62 and 2,021.62 is: 3,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.81 : 9,606.62 = 2,021.62 : x
  2. Step 2: Convert to fraction form
    6,403.81/9,606.62 = 2,021.62/x
  3. Step 3: Cross multiply
    6,403.81x = 9,606.62 × 2,021.62
  4. Step 4: Simplify right side
    6,403.81x = 19,420,935.12
  5. Step 5: Solve for x
    x = 19,420,935.12/6,403.81
  6. Step 6: Final answer
    x = 3,032.72

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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.