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Finding the Fourth Proportional to 3,177.98, 4,767.51 and 986.28

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Solution

The fourth proportional to 3,177.98, 4,767.51 and 986.28 is: 1,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.98 : 4,767.51 = 986.28 : x
  2. Step 2: Convert to fraction form
    3,177.98/4,767.51 = 986.28/x
  3. Step 3: Cross multiply
    3,177.98x = 4,767.51 × 986.28
  4. Step 4: Simplify right side
    3,177.98x = 4,702,080.04
  5. Step 5: Solve for x
    x = 4,702,080.04/3,177.98
  6. Step 6: Final answer
    x = 1,479.58

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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.