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Finding the Fourth Proportional to 6,808.78, 10,199.76 and 4,700.08

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Solution

The fourth proportional to 6,808.78, 10,199.76 and 4,700.08 is: 7,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.78 : 10,199.76 = 4,700.08 : x
  2. Step 2: Convert to fraction form
    6,808.78/10,199.76 = 4,700.08/x
  3. Step 3: Cross multiply
    6,808.78x = 10,199.76 × 4,700.08
  4. Step 4: Simplify right side
    6,808.78x = 47,939,687.98
  5. Step 5: Solve for x
    x = 47,939,687.98/6,808.78
  6. Step 6: Final answer
    x = 7,040.86

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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.