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Finding the Fourth Proportional to 8,690.72, 11,994 and 4,964

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Solution

The fourth proportional to 8,690.72, 11,994 and 4,964 is: 6,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.72 : 11,994 = 4,964 : x
  2. Step 2: Convert to fraction form
    8,690.72/11,994 = 4,964/x
  3. Step 3: Cross multiply
    8,690.72x = 11,994 × 4,964
  4. Step 4: Simplify right side
    8,690.72x = 59,538,216
  5. Step 5: Solve for x
    x = 59,538,216/8,690.72
  6. Step 6: Final answer
    x = 6,850.78

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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.