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Finding the Fourth Proportional to 7,913.37, 11,868.22 and 2,648.64

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Solution

The fourth proportional to 7,913.37, 11,868.22 and 2,648.64 is: 3,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.37 : 11,868.22 = 2,648.64 : x
  2. Step 2: Convert to fraction form
    7,913.37/11,868.22 = 2,648.64/x
  3. Step 3: Cross multiply
    7,913.37x = 11,868.22 × 2,648.64
  4. Step 4: Simplify right side
    7,913.37x = 31,434,642.22
  5. Step 5: Solve for x
    x = 31,434,642.22/7,913.37
  6. Step 6: Final answer
    x = 3,972.35

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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.