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Finding the Fourth Proportional to 20,787.03, 31,192.85 and 7,648.63

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Solution

The fourth proportional to 20,787.03, 31,192.85 and 7,648.63 is: 11,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787.03 : 31,192.85 = 7,648.63 : x
  2. Step 2: Convert to fraction form
    20,787.03/31,192.85 = 7,648.63/x
  3. Step 3: Cross multiply
    20,787.03x = 31,192.85 × 7,648.63
  4. Step 4: Simplify right side
    20,787.03x = 238,582,466.41
  5. Step 5: Solve for x
    x = 238,582,466.41/20,787.03
  6. Step 6: Final answer
    x = 11,477.47

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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.