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Finding the Fourth Proportional to 20,851.72, 31,258.14 and 6,991

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Solution

The fourth proportional to 20,851.72, 31,258.14 and 6,991 is: 10,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.72 : 31,258.14 = 6,991 : x
  2. Step 2: Convert to fraction form
    20,851.72/31,258.14 = 6,991/x
  3. Step 3: Cross multiply
    20,851.72x = 31,258.14 × 6,991
  4. Step 4: Simplify right side
    20,851.72x = 218,525,656.74
  5. Step 5: Solve for x
    x = 218,525,656.74/20,851.72
  6. Step 6: Final answer
    x = 10,479.98

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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.