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Finding the Fourth Proportional to 22,870.72, 34,282.80 and 10,399.60

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Solution

The fourth proportional to 22,870.72, 34,282.80 and 10,399.60 is: 15,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,870.72 : 34,282.80 = 10,399.60 : x
  2. Step 2: Convert to fraction form
    22,870.72/34,282.80 = 10,399.60/x
  3. Step 3: Cross multiply
    22,870.72x = 34,282.80 × 10,399.60
  4. Step 4: Simplify right side
    22,870.72x = 356,527,406.88
  5. Step 5: Solve for x
    x = 356,527,406.88/22,870.72
  6. Step 6: Final answer
    x = 15,588.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.