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Finding the Fourth Proportional to 6,765.81, 9,331.65 and 5,823.15

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Solution

The fourth proportional to 6,765.81, 9,331.65 and 5,823.15 is: 8,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.81 : 9,331.65 = 5,823.15 : x
  2. Step 2: Convert to fraction form
    6,765.81/9,331.65 = 5,823.15/x
  3. Step 3: Cross multiply
    6,765.81x = 9,331.65 × 5,823.15
  4. Step 4: Simplify right side
    6,765.81x = 54,339,597.70
  5. Step 5: Solve for x
    x = 54,339,597.70/6,765.81
  6. Step 6: Final answer
    x = 8,031.50

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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.