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Finding the Fourth Proportional to 8,449.24, 11,656.38 and 5,655.64

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Solution

The fourth proportional to 8,449.24, 11,656.38 and 5,655.64 is: 7,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.24 : 11,656.38 = 5,655.64 : x
  2. Step 2: Convert to fraction form
    8,449.24/11,656.38 = 5,655.64/x
  3. Step 3: Cross multiply
    8,449.24x = 11,656.38 × 5,655.64
  4. Step 4: Simplify right side
    8,449.24x = 65,924,288.98
  5. Step 5: Solve for x
    x = 65,924,288.98/8,449.24
  6. Step 6: Final answer
    x = 7,802.39

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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.