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Finding the Fourth Proportional to 7,888.24, 11,832.01 and 1,965.15

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Solution

The fourth proportional to 7,888.24, 11,832.01 and 1,965.15 is: 2,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.24 : 11,832.01 = 1,965.15 : x
  2. Step 2: Convert to fraction form
    7,888.24/11,832.01 = 1,965.15/x
  3. Step 3: Cross multiply
    7,888.24x = 11,832.01 × 1,965.15
  4. Step 4: Simplify right side
    7,888.24x = 23,251,661.19
  5. Step 5: Solve for x
    x = 23,251,661.19/7,888.24
  6. Step 6: Final answer
    x = 2,947.64

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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.