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Finding the Fourth Proportional to 8,537, 12,805.98 and 2,381.48

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Solution

The fourth proportional to 8,537, 12,805.98 and 2,381.48 is: 3,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537 : 12,805.98 = 2,381.48 : x
  2. Step 2: Convert to fraction form
    8,537/12,805.98 = 2,381.48/x
  3. Step 3: Cross multiply
    8,537x = 12,805.98 × 2,381.48
  4. Step 4: Simplify right side
    8,537x = 30,497,185.25
  5. Step 5: Solve for x
    x = 30,497,185.25/8,537
  6. Step 6: Final answer
    x = 3,572.35

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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.