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Finding the Fourth Proportional to 3,977.16, 5,965.74 and 1,055.76

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Solution

The fourth proportional to 3,977.16, 5,965.74 and 1,055.76 is: 1,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.16 : 5,965.74 = 1,055.76 : x
  2. Step 2: Convert to fraction form
    3,977.16/5,965.74 = 1,055.76/x
  3. Step 3: Cross multiply
    3,977.16x = 5,965.74 × 1,055.76
  4. Step 4: Simplify right side
    3,977.16x = 6,298,389.66
  5. Step 5: Solve for x
    x = 6,298,389.66/3,977.16
  6. Step 6: Final answer
    x = 1,583.64

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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.