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Finding the Fourth Proportional to 6,878.64, 10,312.49 and 2,980.32

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Solution

The fourth proportional to 6,878.64, 10,312.49 and 2,980.32 is: 4,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.64 : 10,312.49 = 2,980.32 : x
  2. Step 2: Convert to fraction form
    6,878.64/10,312.49 = 2,980.32/x
  3. Step 3: Cross multiply
    6,878.64x = 10,312.49 × 2,980.32
  4. Step 4: Simplify right side
    6,878.64x = 30,734,505.30
  5. Step 5: Solve for x
    x = 30,734,505.30/6,878.64
  6. Step 6: Final answer
    x = 4,468.11

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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.