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Finding the Fourth Proportional to 6,807.40, 10,191.90 and 6,116.20

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Solution

The fourth proportional to 6,807.40, 10,191.90 and 6,116.20 is: 9,157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.40 : 10,191.90 = 6,116.20 : x
  2. Step 2: Convert to fraction form
    6,807.40/10,191.90 = 6,116.20/x
  3. Step 3: Cross multiply
    6,807.40x = 10,191.90 × 6,116.20
  4. Step 4: Simplify right side
    6,807.40x = 62,335,698.78
  5. Step 5: Solve for x
    x = 62,335,698.78/6,807.40
  6. Step 6: Final answer
    x = 9,157.05

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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.