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Finding the Fourth Proportional to 21,092.14, 31,641 and 7,763.32

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Solution

The fourth proportional to 21,092.14, 31,641 and 7,763.32 is: 11,646.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092.14 : 31,641 = 7,763.32 : x
  2. Step 2: Convert to fraction form
    21,092.14/31,641 = 7,763.32/x
  3. Step 3: Cross multiply
    21,092.14x = 31,641 × 7,763.32
  4. Step 4: Simplify right side
    21,092.14x = 245,639,208.12
  5. Step 5: Solve for x
    x = 245,639,208.12/21,092.14
  6. Step 6: Final answer
    x = 11,646.01

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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.