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Finding the Fourth Proportional to 6,200.90, 9,289.47 and 5,992.46

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Solution

The fourth proportional to 6,200.90, 9,289.47 and 5,992.46 is: 8,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.90 : 9,289.47 = 5,992.46 : x
  2. Step 2: Convert to fraction form
    6,200.90/9,289.47 = 5,992.46/x
  3. Step 3: Cross multiply
    6,200.90x = 9,289.47 × 5,992.46
  4. Step 4: Simplify right side
    6,200.90x = 55,666,777.40
  5. Step 5: Solve for x
    x = 55,666,777.40/6,200.90
  6. Step 6: Final answer
    x = 8,977.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.