Home / 3,199.02-4,797.28-977.16

Finding the Fourth Proportional to 3,199.02, 4,797.28 and 977.16

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Solution

The fourth proportional to 3,199.02, 4,797.28 and 977.16 is: 1,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.02 : 4,797.28 = 977.16 : x
  2. Step 2: Convert to fraction form
    3,199.02/4,797.28 = 977.16/x
  3. Step 3: Cross multiply
    3,199.02x = 4,797.28 × 977.16
  4. Step 4: Simplify right side
    3,199.02x = 4,687,723.84
  5. Step 5: Solve for x
    x = 4,687,723.84/3,199.02
  6. Step 6: Final answer
    x = 1,465.36

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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.