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Finding the Fourth Proportional to 25,316, 34,937.76 and 14,138.24

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Solution

The fourth proportional to 25,316, 34,937.76 and 14,138.24 is: 19,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,316 : 34,937.76 = 14,138.24 : x
  2. Step 2: Convert to fraction form
    25,316/34,937.76 = 14,138.24/x
  3. Step 3: Cross multiply
    25,316x = 34,937.76 × 14,138.24
  4. Step 4: Simplify right side
    25,316x = 493,958,435.94
  5. Step 5: Solve for x
    x = 493,958,435.94/25,316
  6. Step 6: Final answer
    x = 19,511.71

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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.