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Finding the Fourth Proportional to 10,122, 13,970.92 and 5,708.56

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Solution

The fourth proportional to 10,122, 13,970.92 and 5,708.56 is: 7,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122 : 13,970.92 = 5,708.56 : x
  2. Step 2: Convert to fraction form
    10,122/13,970.92 = 5,708.56/x
  3. Step 3: Cross multiply
    10,122x = 13,970.92 × 5,708.56
  4. Step 4: Simplify right side
    10,122x = 79,753,835.08
  5. Step 5: Solve for x
    x = 79,753,835.08/10,122
  6. Step 6: Final answer
    x = 7,879.26

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Why These Related Problems?

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