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Finding the Fourth Proportional to 6,415.80, 9,612.90 and 4,223.40

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Solution

The fourth proportional to 6,415.80, 9,612.90 and 4,223.40 is: 6,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.80 : 9,612.90 = 4,223.40 : x
  2. Step 2: Convert to fraction form
    6,415.80/9,612.90 = 4,223.40/x
  3. Step 3: Cross multiply
    6,415.80x = 9,612.90 × 4,223.40
  4. Step 4: Simplify right side
    6,415.80x = 40,599,121.86
  5. Step 5: Solve for x
    x = 40,599,121.86/6,415.80
  6. Step 6: Final answer
    x = 6,327.99

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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.