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Finding the Fourth Proportional to 6,944.40, 10,400.40 and 6,805.20

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Solution

The fourth proportional to 6,944.40, 10,400.40 and 6,805.20 is: 10,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.40 : 10,400.40 = 6,805.20 : x
  2. Step 2: Convert to fraction form
    6,944.40/10,400.40 = 6,805.20/x
  3. Step 3: Cross multiply
    6,944.40x = 10,400.40 × 6,805.20
  4. Step 4: Simplify right side
    6,944.40x = 70,776,802.08
  5. Step 5: Solve for x
    x = 70,776,802.08/6,944.40
  6. Step 6: Final answer
    x = 10,191.92

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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.