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Finding the Fourth Proportional to 11,650.71, 16,078.16 and 6,345.52

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Solution

The fourth proportional to 11,650.71, 16,078.16 and 6,345.52 is: 8,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.71 : 16,078.16 = 6,345.52 : x
  2. Step 2: Convert to fraction form
    11,650.71/16,078.16 = 6,345.52/x
  3. Step 3: Cross multiply
    11,650.71x = 16,078.16 × 6,345.52
  4. Step 4: Simplify right side
    11,650.71x = 102,024,173.72
  5. Step 5: Solve for x
    x = 102,024,173.72/11,650.71
  6. Step 6: Final answer
    x = 8,756.91

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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.