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Finding the Fourth Proportional to 12,577.84, 17,356.38 and 7,272.96

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Solution

The fourth proportional to 12,577.84, 17,356.38 and 7,272.96 is: 10,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.84 : 17,356.38 = 7,272.96 : x
  2. Step 2: Convert to fraction form
    12,577.84/17,356.38 = 7,272.96/x
  3. Step 3: Cross multiply
    12,577.84x = 17,356.38 × 7,272.96
  4. Step 4: Simplify right side
    12,577.84x = 126,232,257.48
  5. Step 5: Solve for x
    x = 126,232,257.48/12,577.84
  6. Step 6: Final answer
    x = 10,036.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.