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Finding the Fourth Proportional to 6,559.85, 9,031.69 and 6,112.73

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Solution

The fourth proportional to 6,559.85, 9,031.69 and 6,112.73 is: 8,416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.85 : 9,031.69 = 6,112.73 : x
  2. Step 2: Convert to fraction form
    6,559.85/9,031.69 = 6,112.73/x
  3. Step 3: Cross multiply
    6,559.85x = 9,031.69 × 6,112.73
  4. Step 4: Simplify right side
    6,559.85x = 55,208,282.41
  5. Step 5: Solve for x
    x = 55,208,282.41/6,559.85
  6. Step 6: Final answer
    x = 8,416.09

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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.