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Finding the Fourth Proportional to 9,356.55, 12,916.26 and 6,171.74

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Solution

The fourth proportional to 9,356.55, 12,916.26 and 6,171.74 is: 8,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.55 : 12,916.26 = 6,171.74 : x
  2. Step 2: Convert to fraction form
    9,356.55/12,916.26 = 6,171.74/x
  3. Step 3: Cross multiply
    9,356.55x = 12,916.26 × 6,171.74
  4. Step 4: Simplify right side
    9,356.55x = 79,715,733.91
  5. Step 5: Solve for x
    x = 79,715,733.91/9,356.55
  6. Step 6: Final answer
    x = 8,519.78

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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.