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Finding the Fourth Proportional to 9,855.70, 14,785.91 and 3,281.95

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Solution

The fourth proportional to 9,855.70, 14,785.91 and 3,281.95 is: 4,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.70 : 14,785.91 = 3,281.95 : x
  2. Step 2: Convert to fraction form
    9,855.70/14,785.91 = 3,281.95/x
  3. Step 3: Cross multiply
    9,855.70x = 14,785.91 × 3,281.95
  4. Step 4: Simplify right side
    9,855.70x = 48,526,551.60
  5. Step 5: Solve for x
    x = 48,526,551.60/9,855.70
  6. Step 6: Final answer
    x = 4,923.70

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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.