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Finding the Fourth Proportional to 25,718.88, 38,583.10 and 11,679.90

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Solution

The fourth proportional to 25,718.88, 38,583.10 and 11,679.90 is: 17,522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,718.88 : 38,583.10 = 11,679.90 : x
  2. Step 2: Convert to fraction form
    25,718.88/38,583.10 = 11,679.90/x
  3. Step 3: Cross multiply
    25,718.88x = 38,583.10 × 11,679.90
  4. Step 4: Simplify right side
    25,718.88x = 450,646,619.60
  5. Step 5: Solve for x
    x = 450,646,619.60/25,718.88
  6. Step 6: Final answer
    x = 17,522.01

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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.