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Finding the Fourth Proportional to 4,860, 6,706.80 and 2,998.08

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Solution

The fourth proportional to 4,860, 6,706.80 and 2,998.08 is: 4,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860 : 6,706.80 = 2,998.08 : x
  2. Step 2: Convert to fraction form
    4,860/6,706.80 = 2,998.08/x
  3. Step 3: Cross multiply
    4,860x = 6,706.80 × 2,998.08
  4. Step 4: Simplify right side
    4,860x = 20,107,522.94
  5. Step 5: Solve for x
    x = 20,107,522.94/4,860
  6. Step 6: Final answer
    x = 4,137.35

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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.