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Finding the Fourth Proportional to 20,853.72, 31,261.14 and 6,993

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Solution

The fourth proportional to 20,853.72, 31,261.14 and 6,993 is: 10,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.72 : 31,261.14 = 6,993 : x
  2. Step 2: Convert to fraction form
    20,853.72/31,261.14 = 6,993/x
  3. Step 3: Cross multiply
    20,853.72x = 31,261.14 × 6,993
  4. Step 4: Simplify right side
    20,853.72x = 218,609,152.02
  5. Step 5: Solve for x
    x = 218,609,152.02/20,853.72
  6. Step 6: Final answer
    x = 10,482.98

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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.