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Finding the Fourth Proportional to 11,650.39, 16,077 and 6,345.21

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Solution

The fourth proportional to 11,650.39, 16,077 and 6,345.21 is: 8,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.39 : 16,077 = 6,345.21 : x
  2. Step 2: Convert to fraction form
    11,650.39/16,077 = 6,345.21/x
  3. Step 3: Cross multiply
    11,650.39x = 16,077 × 6,345.21
  4. Step 4: Simplify right side
    11,650.39x = 102,011,941.17
  5. Step 5: Solve for x
    x = 102,011,941.17/11,650.39
  6. Step 6: Final answer
    x = 8,756.10

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1.5x scale

Why These Related Problems?

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