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Finding the Fourth Proportional to 7,756.78, 10,704.40 and 4,219.98

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Solution

The fourth proportional to 7,756.78, 10,704.40 and 4,219.98 is: 5,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.78 : 10,704.40 = 4,219.98 : x
  2. Step 2: Convert to fraction form
    7,756.78/10,704.40 = 4,219.98/x
  3. Step 3: Cross multiply
    7,756.78x = 10,704.40 × 4,219.98
  4. Step 4: Simplify right side
    7,756.78x = 45,172,343.36
  5. Step 5: Solve for x
    x = 45,172,343.36/7,756.78
  6. Step 6: Final answer
    x = 5,823.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.