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Finding the Fourth Proportional to 2,486.49, 3,729.80 and 637.63

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Solution

The fourth proportional to 2,486.49, 3,729.80 and 637.63 is: 956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.49 : 3,729.80 = 637.63 : x
  2. Step 2: Convert to fraction form
    2,486.49/3,729.80 = 637.63/x
  3. Step 3: Cross multiply
    2,486.49x = 3,729.80 × 637.63
  4. Step 4: Simplify right side
    2,486.49x = 2,378,232.37
  5. Step 5: Solve for x
    x = 2,378,232.37/2,486.49
  6. Step 6: Final answer
    x = 956.46

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1.5x scale

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.