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Finding the Fourth Proportional to 3,656.99, 5,485.29 and 2,931.21

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Solution

The fourth proportional to 3,656.99, 5,485.29 and 2,931.21 is: 4,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.99 : 5,485.29 = 2,931.21 : x
  2. Step 2: Convert to fraction form
    3,656.99/5,485.29 = 2,931.21/x
  3. Step 3: Cross multiply
    3,656.99x = 5,485.29 × 2,931.21
  4. Step 4: Simplify right side
    3,656.99x = 16,078,536.90
  5. Step 5: Solve for x
    x = 16,078,536.90/3,656.99
  6. Step 6: Final answer
    x = 4,396.66

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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.