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Finding the Fourth Proportional to 25,712.82, 38,563.83 and 7,240.50

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Solution

The fourth proportional to 25,712.82, 38,563.83 and 7,240.50 is: 10,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.82 : 38,563.83 = 7,240.50 : x
  2. Step 2: Convert to fraction form
    25,712.82/38,563.83 = 7,240.50/x
  3. Step 3: Cross multiply
    25,712.82x = 38,563.83 × 7,240.50
  4. Step 4: Simplify right side
    25,712.82x = 279,221,411.12
  5. Step 5: Solve for x
    x = 279,221,411.12/25,712.82
  6. Step 6: Final answer
    x = 10,859.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.