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Finding the Fourth Proportional to 6,401.67, 9,602.70 and 2,019.16

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Solution

The fourth proportional to 6,401.67, 9,602.70 and 2,019.16 is: 3,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.67 : 9,602.70 = 2,019.16 : x
  2. Step 2: Convert to fraction form
    6,401.67/9,602.70 = 2,019.16/x
  3. Step 3: Cross multiply
    6,401.67x = 9,602.70 × 2,019.16
  4. Step 4: Simplify right side
    6,401.67x = 19,389,387.73
  5. Step 5: Solve for x
    x = 19,389,387.73/6,401.67
  6. Step 6: Final answer
    x = 3,028.80

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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.