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Finding the Fourth Proportional to 25,520, 35,217.78 and 14,342

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Solution

The fourth proportional to 25,520, 35,217.78 and 14,342 is: 19,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,520 : 35,217.78 = 14,342 : x
  2. Step 2: Convert to fraction form
    25,520/35,217.78 = 14,342/x
  3. Step 3: Cross multiply
    25,520x = 35,217.78 × 14,342
  4. Step 4: Simplify right side
    25,520x = 505,093,400.76
  5. Step 5: Solve for x
    x = 505,093,400.76/25,520
  6. Step 6: Final answer
    x = 19,792.06

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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.