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Finding the Fourth Proportional to 10,812.88, 14,923.22 and 6,338.40

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Solution

The fourth proportional to 10,812.88, 14,923.22 and 6,338.40 is: 8,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.88 : 14,923.22 = 6,338.40 : x
  2. Step 2: Convert to fraction form
    10,812.88/14,923.22 = 6,338.40/x
  3. Step 3: Cross multiply
    10,812.88x = 14,923.22 × 6,338.40
  4. Step 4: Simplify right side
    10,812.88x = 94,589,337.65
  5. Step 5: Solve for x
    x = 94,589,337.65/10,812.88
  6. Step 6: Final answer
    x = 8,747.84

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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.