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Finding the Fourth Proportional to 6,591.86, 9,878.00 and 6,428.87

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Solution

The fourth proportional to 6,591.86, 9,878.00 and 6,428.87 is: 9,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.86 : 9,878.00 = 6,428.87 : x
  2. Step 2: Convert to fraction form
    6,591.86/9,878.00 = 6,428.87/x
  3. Step 3: Cross multiply
    6,591.86x = 9,878.00 × 6,428.87
  4. Step 4: Simplify right side
    6,591.86x = 63,504,296.33
  5. Step 5: Solve for x
    x = 63,504,296.33/6,591.86
  6. Step 6: Final answer
    x = 9,633.75

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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.