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Finding the Fourth Proportional to 6,911.72, 10,365.90 and 1,980.20

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Solution

The fourth proportional to 6,911.72, 10,365.90 and 1,980.20 is: 2,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.72 : 10,365.90 = 1,980.20 : x
  2. Step 2: Convert to fraction form
    6,911.72/10,365.90 = 1,980.20/x
  3. Step 3: Cross multiply
    6,911.72x = 10,365.90 × 1,980.20
  4. Step 4: Simplify right side
    6,911.72x = 20,526,555.18
  5. Step 5: Solve for x
    x = 20,526,555.18/6,911.72
  6. Step 6: Final answer
    x = 2,969.82

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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.