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Finding the Fourth Proportional to 22,724.28, 31,368.06 and 13,295.88

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Solution

The fourth proportional to 22,724.28, 31,368.06 and 13,295.88 is: 18,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724.28 : 31,368.06 = 13,295.88 : x
  2. Step 2: Convert to fraction form
    22,724.28/31,368.06 = 13,295.88/x
  3. Step 3: Cross multiply
    22,724.28x = 31,368.06 × 13,295.88
  4. Step 4: Simplify right side
    22,724.28x = 417,065,961.59
  5. Step 5: Solve for x
    x = 417,065,961.59/22,724.28
  6. Step 6: Final answer
    x = 18,353.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.