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Finding the Fourth Proportional to 7,782, 10,739.16 and 5,794.26

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Solution

The fourth proportional to 7,782, 10,739.16 and 5,794.26 is: 7,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 10,739.16 = 5,794.26 : x
  2. Step 2: Convert to fraction form
    7,782/10,739.16 = 5,794.26/x
  3. Step 3: Cross multiply
    7,782x = 10,739.16 × 5,794.26
  4. Step 4: Simplify right side
    7,782x = 62,225,485.22
  5. Step 5: Solve for x
    x = 62,225,485.22/7,782
  6. Step 6: Final answer
    x = 7,996.08

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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.