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Finding the Fourth Proportional to 7,777.33, 11,665.13 and 2,778.63

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Solution

The fourth proportional to 7,777.33, 11,665.13 and 2,778.63 is: 4,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.33 : 11,665.13 = 2,778.63 : x
  2. Step 2: Convert to fraction form
    7,777.33/11,665.13 = 2,778.63/x
  3. Step 3: Cross multiply
    7,777.33x = 11,665.13 × 2,778.63
  4. Step 4: Simplify right side
    7,777.33x = 32,413,066.28
  5. Step 5: Solve for x
    x = 32,413,066.28/7,777.33
  6. Step 6: Final answer
    x = 4,167.64

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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.