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Finding the Fourth Proportional to 6,309, 8,708.22 and 4,219.20

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Solution

The fourth proportional to 6,309, 8,708.22 and 4,219.20 is: 5,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309 : 8,708.22 = 4,219.20 : x
  2. Step 2: Convert to fraction form
    6,309/8,708.22 = 4,219.20/x
  3. Step 3: Cross multiply
    6,309x = 8,708.22 × 4,219.20
  4. Step 4: Simplify right side
    6,309x = 36,741,721.82
  5. Step 5: Solve for x
    x = 36,741,721.82/6,309
  6. Step 6: Final answer
    x = 5,823.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.