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Finding the Fourth Proportional to 9,166.68, 12,650.94 and 5,188.86

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Solution

The fourth proportional to 9,166.68, 12,650.94 and 5,188.86 is: 7,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.68 : 12,650.94 = 5,188.86 : x
  2. Step 2: Convert to fraction form
    9,166.68/12,650.94 = 5,188.86/x
  3. Step 3: Cross multiply
    9,166.68x = 12,650.94 × 5,188.86
  4. Step 4: Simplify right side
    9,166.68x = 65,643,956.53
  5. Step 5: Solve for x
    x = 65,643,956.53/9,166.68
  6. Step 6: Final answer
    x = 7,161.15

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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.