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Finding the Fourth Proportional to 25,349, 34,981.62 and 15,413

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Solution

The fourth proportional to 25,349, 34,981.62 and 15,413 is: 21,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,349 : 34,981.62 = 15,413 : x
  2. Step 2: Convert to fraction form
    25,349/34,981.62 = 15,413/x
  3. Step 3: Cross multiply
    25,349x = 34,981.62 × 15,413
  4. Step 4: Simplify right side
    25,349x = 539,171,709.06
  5. Step 5: Solve for x
    x = 539,171,709.06/25,349
  6. Step 6: Final answer
    x = 21,269.94

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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.