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Finding the Fourth Proportional to 21,005.76, 31,515.84 and 7,164.48

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Solution

The fourth proportional to 21,005.76, 31,515.84 and 7,164.48 is: 10,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.76 : 31,515.84 = 7,164.48 : x
  2. Step 2: Convert to fraction form
    21,005.76/31,515.84 = 7,164.48/x
  3. Step 3: Cross multiply
    21,005.76x = 31,515.84 × 7,164.48
  4. Step 4: Simplify right side
    21,005.76x = 225,794,605.36
  5. Step 5: Solve for x
    x = 225,794,605.36/21,005.76
  6. Step 6: Final answer
    x = 10,749.18

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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.