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Finding the Fourth Proportional to 2,999.40, 4,493.16 and 2,347.08

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Solution

The fourth proportional to 2,999.40, 4,493.16 and 2,347.08 is: 3,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.40 : 4,493.16 = 2,347.08 : x
  2. Step 2: Convert to fraction form
    2,999.40/4,493.16 = 2,347.08/x
  3. Step 3: Cross multiply
    2,999.40x = 4,493.16 × 2,347.08
  4. Step 4: Simplify right side
    2,999.40x = 10,545,805.97
  5. Step 5: Solve for x
    x = 10,545,805.97/2,999.40
  6. Step 6: Final answer
    x = 3,515.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.