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Finding the Fourth Proportional to 5,645.66, 8,467.80 and 1,485.99

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Solution

The fourth proportional to 5,645.66, 8,467.80 and 1,485.99 is: 2,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.66 : 8,467.80 = 1,485.99 : x
  2. Step 2: Convert to fraction form
    5,645.66/8,467.80 = 1,485.99/x
  3. Step 3: Cross multiply
    5,645.66x = 8,467.80 × 1,485.99
  4. Step 4: Simplify right side
    5,645.66x = 12,583,066.12
  5. Step 5: Solve for x
    x = 12,583,066.12/5,645.66
  6. Step 6: Final answer
    x = 2,228.81

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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.