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Finding the Fourth Proportional to 6,440.70, 9,661.23 and 2,280.12

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Solution

The fourth proportional to 6,440.70, 9,661.23 and 2,280.12 is: 3,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.70 : 9,661.23 = 2,280.12 : x
  2. Step 2: Convert to fraction form
    6,440.70/9,661.23 = 2,280.12/x
  3. Step 3: Cross multiply
    6,440.70x = 9,661.23 × 2,280.12
  4. Step 4: Simplify right side
    6,440.70x = 22,028,763.75
  5. Step 5: Solve for x
    x = 22,028,763.75/6,440.70
  6. Step 6: Final answer
    x = 3,420.24

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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.