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Finding the Fourth Proportional to 6,453.87, 9,680.88 and 6,139.11

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Solution

The fourth proportional to 6,453.87, 9,680.88 and 6,139.11 is: 9,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.87 : 9,680.88 = 6,139.11 : x
  2. Step 2: Convert to fraction form
    6,453.87/9,680.88 = 6,139.11/x
  3. Step 3: Cross multiply
    6,453.87x = 9,680.88 × 6,139.11
  4. Step 4: Simplify right side
    6,453.87x = 59,431,987.22
  5. Step 5: Solve for x
    x = 59,431,987.22/6,453.87
  6. Step 6: Final answer
    x = 9,208.74

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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.