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Finding the Fourth Proportional to 3,989.53, 5,985.16 and 1,216.13

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Solution

The fourth proportional to 3,989.53, 5,985.16 and 1,216.13 is: 1,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.53 : 5,985.16 = 1,216.13 : x
  2. Step 2: Convert to fraction form
    3,989.53/5,985.16 = 1,216.13/x
  3. Step 3: Cross multiply
    3,989.53x = 5,985.16 × 1,216.13
  4. Step 4: Simplify right side
    3,989.53x = 7,278,726.55
  5. Step 5: Solve for x
    x = 7,278,726.55/3,989.53
  6. Step 6: Final answer
    x = 1,824.46

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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.