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Finding the Fourth Proportional to 7,812, 10,778.02 and 5,455.44

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Solution

The fourth proportional to 7,812, 10,778.02 and 5,455.44 is: 7,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812 : 10,778.02 = 5,455.44 : x
  2. Step 2: Convert to fraction form
    7,812/10,778.02 = 5,455.44/x
  3. Step 3: Cross multiply
    7,812x = 10,778.02 × 5,455.44
  4. Step 4: Simplify right side
    7,812x = 58,798,841.43
  5. Step 5: Solve for x
    x = 58,798,841.43/7,812
  6. Step 6: Final answer
    x = 7,526.73

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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.