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Finding the Fourth Proportional to 4,969.24, 7,449.54 and 2,779

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Solution

The fourth proportional to 4,969.24, 7,449.54 and 2,779 is: 4,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.24 : 7,449.54 = 2,779 : x
  2. Step 2: Convert to fraction form
    4,969.24/7,449.54 = 2,779/x
  3. Step 3: Cross multiply
    4,969.24x = 7,449.54 × 2,779
  4. Step 4: Simplify right side
    4,969.24x = 20,702,271.66
  5. Step 5: Solve for x
    x = 20,702,271.66/4,969.24
  6. Step 6: Final answer
    x = 4,166.08

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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.