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Finding the Fourth Proportional to 6,165.65, 8,507.48 and 3,646.50

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Solution

The fourth proportional to 6,165.65, 8,507.48 and 3,646.50 is: 5,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.65 : 8,507.48 = 3,646.50 : x
  2. Step 2: Convert to fraction form
    6,165.65/8,507.48 = 3,646.50/x
  3. Step 3: Cross multiply
    6,165.65x = 8,507.48 × 3,646.50
  4. Step 4: Simplify right side
    6,165.65x = 31,022,525.82
  5. Step 5: Solve for x
    x = 31,022,525.82/6,165.65
  6. Step 6: Final answer
    x = 5,031.51

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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.