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Finding the Fourth Proportional to 7,775.70, 10,730.48 and 4,238.93

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Solution

The fourth proportional to 7,775.70, 10,730.48 and 4,238.93 is: 5,849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.70 : 10,730.48 = 4,238.93 : x
  2. Step 2: Convert to fraction form
    7,775.70/10,730.48 = 4,238.93/x
  3. Step 3: Cross multiply
    7,775.70x = 10,730.48 × 4,238.93
  4. Step 4: Simplify right side
    7,775.70x = 45,485,759.22
  5. Step 5: Solve for x
    x = 45,485,759.22/7,775.70
  6. Step 6: Final answer
    x = 5,849.73

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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.