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Finding the Fourth Proportional to 7,783.80, 10,739.04 and 4,757.82

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Solution

The fourth proportional to 7,783.80, 10,739.04 and 4,757.82 is: 6,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.80 : 10,739.04 = 4,757.82 : x
  2. Step 2: Convert to fraction form
    7,783.80/10,739.04 = 4,757.82/x
  3. Step 3: Cross multiply
    7,783.80x = 10,739.04 × 4,757.82
  4. Step 4: Simplify right side
    7,783.80x = 51,094,419.29
  5. Step 5: Solve for x
    x = 51,094,419.29/7,783.80
  6. Step 6: Final answer
    x = 6,564.20

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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.