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Finding the Fourth Proportional to 7,800.98, 11,704.98 and 4,877.96

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Solution

The fourth proportional to 7,800.98, 11,704.98 and 4,877.96 is: 7,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.98 : 11,704.98 = 4,877.96 : x
  2. Step 2: Convert to fraction form
    7,800.98/11,704.98 = 4,877.96/x
  3. Step 3: Cross multiply
    7,800.98x = 11,704.98 × 4,877.96
  4. Step 4: Simplify right side
    7,800.98x = 57,096,424.24
  5. Step 5: Solve for x
    x = 57,096,424.24/7,800.98
  6. Step 6: Final answer
    x = 7,319.13

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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.