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Finding the Fourth Proportional to 3,177.77, 4,767.46 and 986.51

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Solution

The fourth proportional to 3,177.77, 4,767.46 and 986.51 is: 1,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.77 : 4,767.46 = 986.51 : x
  2. Step 2: Convert to fraction form
    3,177.77/4,767.46 = 986.51/x
  3. Step 3: Cross multiply
    3,177.77x = 4,767.46 × 986.51
  4. Step 4: Simplify right side
    3,177.77x = 4,703,156.42
  5. Step 5: Solve for x
    x = 4,703,156.42/3,177.77
  6. Step 6: Final answer
    x = 1,480.02

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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.