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Finding the Fourth Proportional to 8,310.78, 11,464.40 and 5,124.78

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Solution

The fourth proportional to 8,310.78, 11,464.40 and 5,124.78 is: 7,069.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.78 : 11,464.40 = 5,124.78 : x
  2. Step 2: Convert to fraction form
    8,310.78/11,464.40 = 5,124.78/x
  3. Step 3: Cross multiply
    8,310.78x = 11,464.40 × 5,124.78
  4. Step 4: Simplify right side
    8,310.78x = 58,752,502.21
  5. Step 5: Solve for x
    x = 58,752,502.21/8,310.78
  6. Step 6: Final answer
    x = 7,069.43

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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.