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Finding the Fourth Proportional to 6,408.40, 8,838.07 and 4,169.46

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Solution

The fourth proportional to 6,408.40, 8,838.07 and 4,169.46 is: 5,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.40 : 8,838.07 = 4,169.46 : x
  2. Step 2: Convert to fraction form
    6,408.40/8,838.07 = 4,169.46/x
  3. Step 3: Cross multiply
    6,408.40x = 8,838.07 × 4,169.46
  4. Step 4: Simplify right side
    6,408.40x = 36,849,979.34
  5. Step 5: Solve for x
    x = 36,849,979.34/6,408.40
  6. Step 6: Final answer
    x = 5,750.26

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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.