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Finding the Fourth Proportional to 21,052.81, 31,572.64 and 7,009.56

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Solution

The fourth proportional to 21,052.81, 31,572.64 and 7,009.56 is: 10,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,052.81 : 31,572.64 = 7,009.56 : x
  2. Step 2: Convert to fraction form
    21,052.81/31,572.64 = 7,009.56/x
  3. Step 3: Cross multiply
    21,052.81x = 31,572.64 × 7,009.56
  4. Step 4: Simplify right side
    21,052.81x = 221,310,314.44
  5. Step 5: Solve for x
    x = 221,310,314.44/21,052.81
  6. Step 6: Final answer
    x = 10,512.15

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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.