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Finding the Fourth Proportional to 9,799.91, 14,700.43 and 2,779.38

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Solution

The fourth proportional to 9,799.91, 14,700.43 and 2,779.38 is: 4,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.91 : 14,700.43 = 2,779.38 : x
  2. Step 2: Convert to fraction form
    9,799.91/14,700.43 = 2,779.38/x
  3. Step 3: Cross multiply
    9,799.91x = 14,700.43 × 2,779.38
  4. Step 4: Simplify right side
    9,799.91x = 40,858,081.13
  5. Step 5: Solve for x
    x = 40,858,081.13/9,799.91
  6. Step 6: Final answer
    x = 4,169.23

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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.