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Finding the Fourth Proportional to 20,787.69, 31,192.07 and 9,101.01

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Solution

The fourth proportional to 20,787.69, 31,192.07 and 9,101.01 is: 13,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787.69 : 31,192.07 = 9,101.01 : x
  2. Step 2: Convert to fraction form
    20,787.69/31,192.07 = 9,101.01/x
  3. Step 3: Cross multiply
    20,787.69x = 31,192.07 × 9,101.01
  4. Step 4: Simplify right side
    20,787.69x = 283,879,295.49
  5. Step 5: Solve for x
    x = 283,879,295.49/20,787.69
  6. Step 6: Final answer
    x = 13,656.13

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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.