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Finding the Fourth Proportional to 7,782.46, 10,739.78 and 4,425.28

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Solution

The fourth proportional to 7,782.46, 10,739.78 and 4,425.28 is: 6,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.46 : 10,739.78 = 4,425.28 : x
  2. Step 2: Convert to fraction form
    7,782.46/10,739.78 = 4,425.28/x
  3. Step 3: Cross multiply
    7,782.46x = 10,739.78 × 4,425.28
  4. Step 4: Simplify right side
    7,782.46x = 47,526,533.64
  5. Step 5: Solve for x
    x = 47,526,533.64/7,782.46
  6. Step 6: Final answer
    x = 6,106.88

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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.