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Finding the Fourth Proportional to 9,799.74, 14,700.42 and 2,779.80

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Solution

The fourth proportional to 9,799.74, 14,700.42 and 2,779.80 is: 4,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.74 : 14,700.42 = 2,779.80 : x
  2. Step 2: Convert to fraction form
    9,799.74/14,700.42 = 2,779.80/x
  3. Step 3: Cross multiply
    9,799.74x = 14,700.42 × 2,779.80
  4. Step 4: Simplify right side
    9,799.74x = 40,864,227.52
  5. Step 5: Solve for x
    x = 40,864,227.52/9,799.74
  6. Step 6: Final answer
    x = 4,169.93

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1.5x scale

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.