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Finding the Fourth Proportional to 6,477.88, 8,942.52 and 5,063.64

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Solution

The fourth proportional to 6,477.88, 8,942.52 and 5,063.64 is: 6,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.88 : 8,942.52 = 5,063.64 : x
  2. Step 2: Convert to fraction form
    6,477.88/8,942.52 = 5,063.64/x
  3. Step 3: Cross multiply
    6,477.88x = 8,942.52 × 5,063.64
  4. Step 4: Simplify right side
    6,477.88x = 45,281,701.97
  5. Step 5: Solve for x
    x = 45,281,701.97/6,477.88
  6. Step 6: Final answer
    x = 6,990.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.