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Finding the Fourth Proportional to 9,855.81, 14,785.84 and 3,615.77

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Solution

The fourth proportional to 9,855.81, 14,785.84 and 3,615.77 is: 5,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.81 : 14,785.84 = 3,615.77 : x
  2. Step 2: Convert to fraction form
    9,855.81/14,785.84 = 3,615.77/x
  3. Step 3: Cross multiply
    9,855.81x = 14,785.84 × 3,615.77
  4. Step 4: Simplify right side
    9,855.81x = 53,462,238.18
  5. Step 5: Solve for x
    x = 53,462,238.18/9,855.81
  6. Step 6: Final answer
    x = 5,424.44

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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.