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Finding the Fourth Proportional to 7,109.12, 9,810.10 and 3,965.24

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Solution

The fourth proportional to 7,109.12, 9,810.10 and 3,965.24 is: 5,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.12 : 9,810.10 = 3,965.24 : x
  2. Step 2: Convert to fraction form
    7,109.12/9,810.10 = 3,965.24/x
  3. Step 3: Cross multiply
    7,109.12x = 9,810.10 × 3,965.24
  4. Step 4: Simplify right side
    7,109.12x = 38,899,400.92
  5. Step 5: Solve for x
    x = 38,899,400.92/7,109.12
  6. Step 6: Final answer
    x = 5,471.76

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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.