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Finding the Fourth Proportional to 8,311.34, 11,470.10 and 4,774.78

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Solution

The fourth proportional to 8,311.34, 11,470.10 and 4,774.78 is: 6,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.34 : 11,470.10 = 4,774.78 : x
  2. Step 2: Convert to fraction form
    8,311.34/11,470.10 = 4,774.78/x
  3. Step 3: Cross multiply
    8,311.34x = 11,470.10 × 4,774.78
  4. Step 4: Simplify right side
    8,311.34x = 54,767,216.05
  5. Step 5: Solve for x
    x = 54,767,216.05/8,311.34
  6. Step 6: Final answer
    x = 6,589.45

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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.