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Finding the Fourth Proportional to 13,159, 19,734.22 and 4,391.56

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Solution

The fourth proportional to 13,159, 19,734.22 and 4,391.56 is: 6,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159 : 19,734.22 = 4,391.56 : x
  2. Step 2: Convert to fraction form
    13,159/19,734.22 = 4,391.56/x
  3. Step 3: Cross multiply
    13,159x = 19,734.22 × 4,391.56
  4. Step 4: Simplify right side
    13,159x = 86,664,011.18
  5. Step 5: Solve for x
    x = 86,664,011.18/13,159
  6. Step 6: Final answer
    x = 6,585.91

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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.