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Finding the Fourth Proportional to 7,992.41, 11,029.67 and 4,407.78

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Solution

The fourth proportional to 7,992.41, 11,029.67 and 4,407.78 is: 6,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.41 : 11,029.67 = 4,407.78 : x
  2. Step 2: Convert to fraction form
    7,992.41/11,029.67 = 4,407.78/x
  3. Step 3: Cross multiply
    7,992.41x = 11,029.67 × 4,407.78
  4. Step 4: Simplify right side
    7,992.41x = 48,616,417.42
  5. Step 5: Solve for x
    x = 48,616,417.42/7,992.41
  6. Step 6: Final answer
    x = 6,082.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.