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Finding the Fourth Proportional to 13,141.73, 19,715.73 and 4,376.72

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Solution

The fourth proportional to 13,141.73, 19,715.73 and 4,376.72 is: 6,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.73 : 19,715.73 = 4,376.72 : x
  2. Step 2: Convert to fraction form
    13,141.73/19,715.73 = 4,376.72/x
  3. Step 3: Cross multiply
    13,141.73x = 19,715.73 × 4,376.72
  4. Step 4: Simplify right side
    13,141.73x = 86,290,229.81
  5. Step 5: Solve for x
    x = 86,290,229.81/13,141.73
  6. Step 6: Final answer
    x = 6,566.12

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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.