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Finding the Fourth Proportional to 7,877.94, 11,833.30 and 6,647.72

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Solution

The fourth proportional to 7,877.94, 11,833.30 and 6,647.72 is: 9,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.94 : 11,833.30 = 6,647.72 : x
  2. Step 2: Convert to fraction form
    7,877.94/11,833.30 = 6,647.72/x
  3. Step 3: Cross multiply
    7,877.94x = 11,833.30 × 6,647.72
  4. Step 4: Simplify right side
    7,877.94x = 78,664,465.08
  5. Step 5: Solve for x
    x = 78,664,465.08/7,877.94
  6. Step 6: Final answer
    x = 9,985.41

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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.