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Finding the Fourth Proportional to 25,354.95, 34,978.19 and 16,405.37

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Solution

The fourth proportional to 25,354.95, 34,978.19 and 16,405.37 is: 22,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,354.95 : 34,978.19 = 16,405.37 : x
  2. Step 2: Convert to fraction form
    25,354.95/34,978.19 = 16,405.37/x
  3. Step 3: Cross multiply
    25,354.95x = 34,978.19 × 16,405.37
  4. Step 4: Simplify right side
    25,354.95x = 573,830,148.88
  5. Step 5: Solve for x
    x = 573,830,148.88/25,354.95
  6. Step 6: Final answer
    x = 22,631.88

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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.