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Finding the Fourth Proportional to 20,798, 31,187.28 and 6,937.28

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Solution

The fourth proportional to 20,798, 31,187.28 and 6,937.28 is: 10,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798 : 31,187.28 = 6,937.28 : x
  2. Step 2: Convert to fraction form
    20,798/31,187.28 = 6,937.28/x
  3. Step 3: Cross multiply
    20,798x = 31,187.28 × 6,937.28
  4. Step 4: Simplify right side
    20,798x = 216,354,893.80
  5. Step 5: Solve for x
    x = 216,354,893.80/20,798
  6. Step 6: Final answer
    x = 10,402.68

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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.