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Finding the Fourth Proportional to 25,109.84, 37,665 and 6,389.90

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Solution

The fourth proportional to 25,109.84, 37,665 and 6,389.90 is: 9,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,109.84 : 37,665 = 6,389.90 : x
  2. Step 2: Convert to fraction form
    25,109.84/37,665 = 6,389.90/x
  3. Step 3: Cross multiply
    25,109.84x = 37,665 × 6,389.90
  4. Step 4: Simplify right side
    25,109.84x = 240,675,583.50
  5. Step 5: Solve for x
    x = 240,675,583.50/25,109.84
  6. Step 6: Final answer
    x = 9,584.91

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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.