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Finding the Fourth Proportional to 8,911, 12,288.81 and 6,405.54

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Solution

The fourth proportional to 8,911, 12,288.81 and 6,405.54 is: 8,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911 : 12,288.81 = 6,405.54 : x
  2. Step 2: Convert to fraction form
    8,911/12,288.81 = 6,405.54/x
  3. Step 3: Cross multiply
    8,911x = 12,288.81 × 6,405.54
  4. Step 4: Simplify right side
    8,911x = 78,716,464.01
  5. Step 5: Solve for x
    x = 78,716,464.01/8,911
  6. Step 6: Final answer
    x = 8,833.63

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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.