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Finding the Fourth Proportional to 6,891.41, 9,516.87 and 5,890.86

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Solution

The fourth proportional to 6,891.41, 9,516.87 and 5,890.86 is: 8,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.41 : 9,516.87 = 5,890.86 : x
  2. Step 2: Convert to fraction form
    6,891.41/9,516.87 = 5,890.86/x
  3. Step 3: Cross multiply
    6,891.41x = 9,516.87 × 5,890.86
  4. Step 4: Simplify right side
    6,891.41x = 56,062,548.81
  5. Step 5: Solve for x
    x = 56,062,548.81/6,891.41
  6. Step 6: Final answer
    x = 8,135.13

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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.