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Finding the Fourth Proportional to 65,932.38, 90,986.16 and 37,638

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Solution

The fourth proportional to 65,932.38, 90,986.16 and 37,638 is: 51,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,932.38 : 90,986.16 = 37,638 : x
  2. Step 2: Convert to fraction form
    65,932.38/90,986.16 = 37,638/x
  3. Step 3: Cross multiply
    65,932.38x = 90,986.16 × 37,638
  4. Step 4: Simplify right side
    65,932.38x = 3,424,537,090.08
  5. Step 5: Solve for x
    x = 3,424,537,090.08/65,932.38
  6. Step 6: Final answer
    x = 51,940.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.