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Finding the Fourth Proportional to 7,825.80, 10,799.87 and 4,289.01

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Solution

The fourth proportional to 7,825.80, 10,799.87 and 4,289.01 is: 5,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.80 : 10,799.87 = 4,289.01 : x
  2. Step 2: Convert to fraction form
    7,825.80/10,799.87 = 4,289.01/x
  3. Step 3: Cross multiply
    7,825.80x = 10,799.87 × 4,289.01
  4. Step 4: Simplify right side
    7,825.80x = 46,320,728.98
  5. Step 5: Solve for x
    x = 46,320,728.98/7,825.80
  6. Step 6: Final answer
    x = 5,918.98

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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.