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Finding the Fourth Proportional to 7,878.18, 11,799.06 and 4,751.31

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Solution

The fourth proportional to 7,878.18, 11,799.06 and 4,751.31 is: 7,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.18 : 11,799.06 = 4,751.31 : x
  2. Step 2: Convert to fraction form
    7,878.18/11,799.06 = 4,751.31/x
  3. Step 3: Cross multiply
    7,878.18x = 11,799.06 × 4,751.31
  4. Step 4: Simplify right side
    7,878.18x = 56,060,991.77
  5. Step 5: Solve for x
    x = 56,060,991.77/7,878.18
  6. Step 6: Final answer
    x = 7,115.98

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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.