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Finding the Fourth Proportional to 25,225, 34,811.70 and 14,047

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Solution

The fourth proportional to 25,225, 34,811.70 and 14,047 is: 19,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,225 : 34,811.70 = 14,047 : x
  2. Step 2: Convert to fraction form
    25,225/34,811.70 = 14,047/x
  3. Step 3: Cross multiply
    25,225x = 34,811.70 × 14,047
  4. Step 4: Simplify right side
    25,225x = 488,999,949.90
  5. Step 5: Solve for x
    x = 488,999,949.90/25,225
  6. Step 6: Final answer
    x = 19,385.53

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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.