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Finding the Fourth Proportional to 17,782.76, 26,658.65 and 6,686.48

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Solution

The fourth proportional to 17,782.76, 26,658.65 and 6,686.48 is: 10,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.76 : 26,658.65 = 6,686.48 : x
  2. Step 2: Convert to fraction form
    17,782.76/26,658.65 = 6,686.48/x
  3. Step 3: Cross multiply
    17,782.76x = 26,658.65 × 6,686.48
  4. Step 4: Simplify right side
    17,782.76x = 178,252,613.41
  5. Step 5: Solve for x
    x = 178,252,613.41/17,782.76
  6. Step 6: Final answer
    x = 10,023.90

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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.