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Finding the Fourth Proportional to 7,752.78, 11,672.82 and 6,834.24

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Solution

The fourth proportional to 7,752.78, 11,672.82 and 6,834.24 is: 10,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.78 : 11,672.82 = 6,834.24 : x
  2. Step 2: Convert to fraction form
    7,752.78/11,672.82 = 6,834.24/x
  3. Step 3: Cross multiply
    7,752.78x = 11,672.82 × 6,834.24
  4. Step 4: Simplify right side
    7,752.78x = 79,774,853.36
  5. Step 5: Solve for x
    x = 79,774,853.36/7,752.78
  6. Step 6: Final answer
    x = 10,289.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.