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Finding the Fourth Proportional to 25,812, 35,624.88 and 14,640.48

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Solution

The fourth proportional to 25,812, 35,624.88 and 14,640.48 is: 20,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,812 : 35,624.88 = 14,640.48 : x
  2. Step 2: Convert to fraction form
    25,812/35,624.88 = 14,640.48/x
  3. Step 3: Cross multiply
    25,812x = 35,624.88 × 14,640.48
  4. Step 4: Simplify right side
    25,812x = 521,565,343.14
  5. Step 5: Solve for x
    x = 521,565,343.14/25,812
  6. Step 6: Final answer
    x = 20,206.31

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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.