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Finding the Fourth Proportional to 25,293, 34,904.36 and 14,115

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Solution

The fourth proportional to 25,293, 34,904.36 and 14,115 is: 19,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,293 : 34,904.36 = 14,115 : x
  2. Step 2: Convert to fraction form
    25,293/34,904.36 = 14,115/x
  3. Step 3: Cross multiply
    25,293x = 34,904.36 × 14,115
  4. Step 4: Simplify right side
    25,293x = 492,675,041.40
  5. Step 5: Solve for x
    x = 492,675,041.40/25,293
  6. Step 6: Final answer
    x = 19,478.71

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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.