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Finding the Fourth Proportional to 25,319, 34,911.78 and 16,354.68

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Solution

The fourth proportional to 25,319, 34,911.78 and 16,354.68 is: 22,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,319 : 34,911.78 = 16,354.68 : x
  2. Step 2: Convert to fraction form
    25,319/34,911.78 = 16,354.68/x
  3. Step 3: Cross multiply
    25,319x = 34,911.78 × 16,354.68
  4. Step 4: Simplify right side
    25,319x = 570,970,990.13
  5. Step 5: Solve for x
    x = 570,970,990.13/25,319
  6. Step 6: Final answer
    x = 22,551.09

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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.