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Finding the Fourth Proportional to 6,401.65, 9,602.78 and 2,019.45

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Solution

The fourth proportional to 6,401.65, 9,602.78 and 2,019.45 is: 3,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.65 : 9,602.78 = 2,019.45 : x
  2. Step 2: Convert to fraction form
    6,401.65/9,602.78 = 2,019.45/x
  3. Step 3: Cross multiply
    6,401.65x = 9,602.78 × 2,019.45
  4. Step 4: Simplify right side
    6,401.65x = 19,392,334.07
  5. Step 5: Solve for x
    x = 19,392,334.07/6,401.65
  6. Step 6: Final answer
    x = 3,029.27

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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.