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Finding the Fourth Proportional to 4,685.40, 6,994.83 and 4,167

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Solution

The fourth proportional to 4,685.40, 6,994.83 and 4,167 is: 6,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.40 : 6,994.83 = 4,167 : x
  2. Step 2: Convert to fraction form
    4,685.40/6,994.83 = 4,167/x
  3. Step 3: Cross multiply
    4,685.40x = 6,994.83 × 4,167
  4. Step 4: Simplify right side
    4,685.40x = 29,147,456.61
  5. Step 5: Solve for x
    x = 29,147,456.61/4,685.40
  6. Step 6: Final answer
    x = 6,220.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.