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Finding the Fourth Proportional to 34,690, 47,872.11 and 18,774.45

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Solution

The fourth proportional to 34,690, 47,872.11 and 18,774.45 is: 25,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,690 : 47,872.11 = 18,774.45 : x
  2. Step 2: Convert to fraction form
    34,690/47,872.11 = 18,774.45/x
  3. Step 3: Cross multiply
    34,690x = 47,872.11 × 18,774.45
  4. Step 4: Simplify right side
    34,690x = 898,772,535.59
  5. Step 5: Solve for x
    x = 898,772,535.59/34,690
  6. Step 6: Final answer
    x = 25,908.69

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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.