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Finding the Fourth Proportional to 7,311.64, 10,977.18 and 3,851.32

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Solution

The fourth proportional to 7,311.64, 10,977.18 and 3,851.32 is: 5,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.64 : 10,977.18 = 3,851.32 : x
  2. Step 2: Convert to fraction form
    7,311.64/10,977.18 = 3,851.32/x
  3. Step 3: Cross multiply
    7,311.64x = 10,977.18 × 3,851.32
  4. Step 4: Simplify right side
    7,311.64x = 42,276,632.88
  5. Step 5: Solve for x
    x = 42,276,632.88/7,311.64
  6. Step 6: Final answer
    x = 5,782.10

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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.