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Finding the Fourth Proportional to 9,176.86, 12,664.16 and 5,197.87

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Solution

The fourth proportional to 9,176.86, 12,664.16 and 5,197.87 is: 7,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.86 : 12,664.16 = 5,197.87 : x
  2. Step 2: Convert to fraction form
    9,176.86/12,664.16 = 5,197.87/x
  3. Step 3: Cross multiply
    9,176.86x = 12,664.16 × 5,197.87
  4. Step 4: Simplify right side
    9,176.86x = 65,826,657.34
  5. Step 5: Solve for x
    x = 65,826,657.34/9,176.86
  6. Step 6: Final answer
    x = 7,173.11

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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.