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Finding the Fourth Proportional to 6,409, 8,838.33 and 4,168.31

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Solution

The fourth proportional to 6,409, 8,838.33 and 4,168.31 is: 5,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409 : 8,838.33 = 4,168.31 : x
  2. Step 2: Convert to fraction form
    6,409/8,838.33 = 4,168.31/x
  3. Step 3: Cross multiply
    6,409x = 8,838.33 × 4,168.31
  4. Step 4: Simplify right side
    6,409x = 36,840,899.32
  5. Step 5: Solve for x
    x = 36,840,899.32/6,409
  6. Step 6: Final answer
    x = 5,748.31

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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.