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Finding the Fourth Proportional to 6,289.78, 9,415.23 and 5,356.66

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Solution

The fourth proportional to 6,289.78, 9,415.23 and 5,356.66 is: 8,018.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.78 : 9,415.23 = 5,356.66 : x
  2. Step 2: Convert to fraction form
    6,289.78/9,415.23 = 5,356.66/x
  3. Step 3: Cross multiply
    6,289.78x = 9,415.23 × 5,356.66
  4. Step 4: Simplify right side
    6,289.78x = 50,434,185.93
  5. Step 5: Solve for x
    x = 50,434,185.93/6,289.78
  6. Step 6: Final answer
    x = 8,018.43

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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.