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Finding the Fourth Proportional to 25,800, 35,603.76 and 14,622

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Solution

The fourth proportional to 25,800, 35,603.76 and 14,622 is: 20,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800 : 35,603.76 = 14,622 : x
  2. Step 2: Convert to fraction form
    25,800/35,603.76 = 14,622/x
  3. Step 3: Cross multiply
    25,800x = 35,603.76 × 14,622
  4. Step 4: Simplify right side
    25,800x = 520,598,178.72
  5. Step 5: Solve for x
    x = 520,598,178.72/25,800
  6. Step 6: Final answer
    x = 20,178.22

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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.