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Finding the Fourth Proportional to 8,107.80, 11,188.98 and 4,570.80

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Solution

The fourth proportional to 8,107.80, 11,188.98 and 4,570.80 is: 6,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.80 : 11,188.98 = 4,570.80 : x
  2. Step 2: Convert to fraction form
    8,107.80/11,188.98 = 4,570.80/x
  3. Step 3: Cross multiply
    8,107.80x = 11,188.98 × 4,570.80
  4. Step 4: Simplify right side
    8,107.80x = 51,142,589.78
  5. Step 5: Solve for x
    x = 51,142,589.78/8,107.80
  6. Step 6: Final answer
    x = 6,307.83

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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.