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Finding the Fourth Proportional to 25,784.81, 35,570.38 and 16,828.17

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Solution

The fourth proportional to 25,784.81, 35,570.38 and 16,828.17 is: 23,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.81 : 35,570.38 = 16,828.17 : x
  2. Step 2: Convert to fraction form
    25,784.81/35,570.38 = 16,828.17/x
  3. Step 3: Cross multiply
    25,784.81x = 35,570.38 × 16,828.17
  4. Step 4: Simplify right side
    25,784.81x = 598,584,401.60
  5. Step 5: Solve for x
    x = 598,584,401.60/25,784.81
  6. Step 6: Final answer
    x = 23,214.61

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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.