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Finding the Fourth Proportional to 17,779.80, 26,674.64 and 7,782.78

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Solution

The fourth proportional to 17,779.80, 26,674.64 and 7,782.78 is: 11,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.80 : 26,674.64 = 7,782.78 : x
  2. Step 2: Convert to fraction form
    17,779.80/26,674.64 = 7,782.78/x
  3. Step 3: Cross multiply
    17,779.80x = 26,674.64 × 7,782.78
  4. Step 4: Simplify right side
    17,779.80x = 207,602,854.70
  5. Step 5: Solve for x
    x = 207,602,854.70/17,779.80
  6. Step 6: Final answer
    x = 11,676.33

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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.