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Finding the Fourth Proportional to 14,253.84, 21,381.84 and 3,865.44

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Solution

The fourth proportional to 14,253.84, 21,381.84 and 3,865.44 is: 5,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253.84 : 21,381.84 = 3,865.44 : x
  2. Step 2: Convert to fraction form
    14,253.84/21,381.84 = 3,865.44/x
  3. Step 3: Cross multiply
    14,253.84x = 21,381.84 × 3,865.44
  4. Step 4: Simplify right side
    14,253.84x = 82,650,219.61
  5. Step 5: Solve for x
    x = 82,650,219.61/14,253.84
  6. Step 6: Final answer
    x = 5,798.45

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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.