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Finding the Fourth Proportional to 7,870.72, 11,803.84 and 2,676.48

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Solution

The fourth proportional to 7,870.72, 11,803.84 and 2,676.48 is: 4,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.72 : 11,803.84 = 2,676.48 : x
  2. Step 2: Convert to fraction form
    7,870.72/11,803.84 = 2,676.48/x
  3. Step 3: Cross multiply
    7,870.72x = 11,803.84 × 2,676.48
  4. Step 4: Simplify right side
    7,870.72x = 31,592,741.68
  5. Step 5: Solve for x
    x = 31,592,741.68/7,870.72
  6. Step 6: Final answer
    x = 4,013.96

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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.