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Finding the Fourth Proportional to 7,785.78, 10,739.16 and 5,263.44

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Solution

The fourth proportional to 7,785.78, 10,739.16 and 5,263.44 is: 7,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.78 : 10,739.16 = 5,263.44 : x
  2. Step 2: Convert to fraction form
    7,785.78/10,739.16 = 5,263.44/x
  3. Step 3: Cross multiply
    7,785.78x = 10,739.16 × 5,263.44
  4. Step 4: Simplify right side
    7,785.78x = 56,524,924.31
  5. Step 5: Solve for x
    x = 56,524,924.31/7,785.78
  6. Step 6: Final answer
    x = 7,260.02

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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.