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Finding the Fourth Proportional to 11,309.64, 15,607.39 and 6,274.18

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Solution

The fourth proportional to 11,309.64, 15,607.39 and 6,274.18 is: 8,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.64 : 15,607.39 = 6,274.18 : x
  2. Step 2: Convert to fraction form
    11,309.64/15,607.39 = 6,274.18/x
  3. Step 3: Cross multiply
    11,309.64x = 15,607.39 × 6,274.18
  4. Step 4: Simplify right side
    11,309.64x = 97,923,629.37
  5. Step 5: Solve for x
    x = 97,923,629.37/11,309.64
  6. Step 6: Final answer
    x = 8,658.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.