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Finding the Fourth Proportional to 8,535.87, 12,814.74 and 5,774.78

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Solution

The fourth proportional to 8,535.87, 12,814.74 and 5,774.78 is: 8,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.87 : 12,814.74 = 5,774.78 : x
  2. Step 2: Convert to fraction form
    8,535.87/12,814.74 = 5,774.78/x
  3. Step 3: Cross multiply
    8,535.87x = 12,814.74 × 5,774.78
  4. Step 4: Simplify right side
    8,535.87x = 74,002,336.29
  5. Step 5: Solve for x
    x = 74,002,336.29/8,535.87
  6. Step 6: Final answer
    x = 8,669.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.