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Finding the Fourth Proportional to 9,840.71, 14,759.85 and 4,297.88

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Solution

The fourth proportional to 9,840.71, 14,759.85 and 4,297.88 is: 6,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.71 : 14,759.85 = 4,297.88 : x
  2. Step 2: Convert to fraction form
    9,840.71/14,759.85 = 4,297.88/x
  3. Step 3: Cross multiply
    9,840.71x = 14,759.85 × 4,297.88
  4. Step 4: Simplify right side
    9,840.71x = 63,436,064.12
  5. Step 5: Solve for x
    x = 63,436,064.12/9,840.71
  6. Step 6: Final answer
    x = 6,446.29

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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.