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Finding the Fourth Proportional to 25,813, 38,725.98 and 7,345

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Solution

The fourth proportional to 25,813, 38,725.98 and 7,345 is: 11,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,813 : 38,725.98 = 7,345 : x
  2. Step 2: Convert to fraction form
    25,813/38,725.98 = 7,345/x
  3. Step 3: Cross multiply
    25,813x = 38,725.98 × 7,345
  4. Step 4: Simplify right side
    25,813x = 284,442,323.10
  5. Step 5: Solve for x
    x = 284,442,323.10/25,813
  6. Step 6: Final answer
    x = 11,019.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.