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Finding the Fourth Proportional to 25,620, 35,356.80 and 14,442

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Solution

The fourth proportional to 25,620, 35,356.80 and 14,442 is: 19,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,620 : 35,356.80 = 14,442 : x
  2. Step 2: Convert to fraction form
    25,620/35,356.80 = 14,442/x
  3. Step 3: Cross multiply
    25,620x = 35,356.80 × 14,442
  4. Step 4: Simplify right side
    25,620x = 510,622,905.60
  5. Step 5: Solve for x
    x = 510,622,905.60/25,620
  6. Step 6: Final answer
    x = 19,930.64

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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.