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Finding the Fourth Proportional to 25,807, 38,716.98 and 7,339

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Solution

The fourth proportional to 25,807, 38,716.98 and 7,339 is: 11,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807 : 38,716.98 = 7,339 : x
  2. Step 2: Convert to fraction form
    25,807/38,716.98 = 7,339/x
  3. Step 3: Cross multiply
    25,807x = 38,716.98 × 7,339
  4. Step 4: Simplify right side
    25,807x = 284,143,916.22
  5. Step 5: Solve for x
    x = 284,143,916.22/25,807
  6. Step 6: Final answer
    x = 11,010.34

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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.