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Finding the Fourth Proportional to 8,563.91, 11,817.34 and 4,977.93

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Solution

The fourth proportional to 8,563.91, 11,817.34 and 4,977.93 is: 6,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.91 : 11,817.34 = 4,977.93 : x
  2. Step 2: Convert to fraction form
    8,563.91/11,817.34 = 4,977.93/x
  3. Step 3: Cross multiply
    8,563.91x = 11,817.34 × 4,977.93
  4. Step 4: Simplify right side
    8,563.91x = 58,825,891.31
  5. Step 5: Solve for x
    x = 58,825,891.31/8,563.91
  6. Step 6: Final answer
    x = 6,869.05

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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.