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Finding the Fourth Proportional to 9,226, 12,737.64 and 5,919.76

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Solution

The fourth proportional to 9,226, 12,737.64 and 5,919.76 is: 8,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226 : 12,737.64 = 5,919.76 : x
  2. Step 2: Convert to fraction form
    9,226/12,737.64 = 5,919.76/x
  3. Step 3: Cross multiply
    9,226x = 12,737.64 × 5,919.76
  4. Step 4: Simplify right side
    9,226x = 75,403,771.77
  5. Step 5: Solve for x
    x = 75,403,771.77/9,226
  6. Step 6: Final answer
    x = 8,172.96

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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.