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Finding the Fourth Proportional to 6,401.42, 9,602.13 and 2,019.32

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Solution

The fourth proportional to 6,401.42, 9,602.13 and 2,019.32 is: 3,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.42 : 9,602.13 = 2,019.32 : x
  2. Step 2: Convert to fraction form
    6,401.42/9,602.13 = 2,019.32/x
  3. Step 3: Cross multiply
    6,401.42x = 9,602.13 × 2,019.32
  4. Step 4: Simplify right side
    6,401.42x = 19,389,773.15
  5. Step 5: Solve for x
    x = 19,389,773.15/6,401.42
  6. Step 6: Final answer
    x = 3,028.98

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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.