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Finding the Fourth Proportional to 22,661.40, 33,991.92 and 7,870.08

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Solution

The fourth proportional to 22,661.40, 33,991.92 and 7,870.08 is: 11,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.40 : 33,991.92 = 7,870.08 : x
  2. Step 2: Convert to fraction form
    22,661.40/33,991.92 = 7,870.08/x
  3. Step 3: Cross multiply
    22,661.40x = 33,991.92 × 7,870.08
  4. Step 4: Simplify right side
    22,661.40x = 267,519,129.75
  5. Step 5: Solve for x
    x = 267,519,129.75/22,661.40
  6. Step 6: Final answer
    x = 11,805.06

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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.