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Finding the Fourth Proportional to 2,940, 4,394.08 and 2,706.49

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Solution

The fourth proportional to 2,940, 4,394.08 and 2,706.49 is: 4,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940 : 4,394.08 = 2,706.49 : x
  2. Step 2: Convert to fraction form
    2,940/4,394.08 = 2,706.49/x
  3. Step 3: Cross multiply
    2,940x = 4,394.08 × 2,706.49
  4. Step 4: Simplify right side
    2,940x = 11,892,533.58
  5. Step 5: Solve for x
    x = 11,892,533.58/2,940
  6. Step 6: Final answer
    x = 4,045.08

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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.