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Finding the Fourth Proportional to 7,876.02, 11,807.64 and 2,944.94

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Solution

The fourth proportional to 7,876.02, 11,807.64 and 2,944.94 is: 4,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.02 : 11,807.64 = 2,944.94 : x
  2. Step 2: Convert to fraction form
    7,876.02/11,807.64 = 2,944.94/x
  3. Step 3: Cross multiply
    7,876.02x = 11,807.64 × 2,944.94
  4. Step 4: Simplify right side
    7,876.02x = 34,772,791.34
  5. Step 5: Solve for x
    x = 34,772,791.34/7,876.02
  6. Step 6: Final answer
    x = 4,415.02

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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.