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Finding the Fourth Proportional to 65,371.84, 97,934.40 and 38,638

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Solution

The fourth proportional to 65,371.84, 97,934.40 and 38,638 is: 57,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,371.84 : 97,934.40 = 38,638 : x
  2. Step 2: Convert to fraction form
    65,371.84/97,934.40 = 38,638/x
  3. Step 3: Cross multiply
    65,371.84x = 97,934.40 × 38,638
  4. Step 4: Simplify right side
    65,371.84x = 3,783,989,347.20
  5. Step 5: Solve for x
    x = 3,783,989,347.20/65,371.84
  6. Step 6: Final answer
    x = 57,884.09

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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.