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Finding the Fourth Proportional to 6,289.86, 9,433.56 and 5,977.65

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Solution

The fourth proportional to 6,289.86, 9,433.56 and 5,977.65 is: 8,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.86 : 9,433.56 = 5,977.65 : x
  2. Step 2: Convert to fraction form
    6,289.86/9,433.56 = 5,977.65/x
  3. Step 3: Cross multiply
    6,289.86x = 9,433.56 × 5,977.65
  4. Step 4: Simplify right side
    6,289.86x = 56,390,519.93
  5. Step 5: Solve for x
    x = 56,390,519.93/6,289.86
  6. Step 6: Final answer
    x = 8,965.31

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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.