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Finding the Fourth Proportional to 21,297.79, 31,947.14 and 5,503.16

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Solution

The fourth proportional to 21,297.79, 31,947.14 and 5,503.16 is: 8,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,297.79 : 31,947.14 = 5,503.16 : x
  2. Step 2: Convert to fraction form
    21,297.79/31,947.14 = 5,503.16/x
  3. Step 3: Cross multiply
    21,297.79x = 31,947.14 × 5,503.16
  4. Step 4: Simplify right side
    21,297.79x = 175,810,316.59
  5. Step 5: Solve for x
    x = 175,810,316.59/21,297.79
  6. Step 6: Final answer
    x = 8,254.86

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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.