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Finding the Fourth Proportional to 6,486.77, 9,724.55 and 5,505.99

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Solution

The fourth proportional to 6,486.77, 9,724.55 and 5,505.99 is: 8,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.77 : 9,724.55 = 5,505.99 : x
  2. Step 2: Convert to fraction form
    6,486.77/9,724.55 = 5,505.99/x
  3. Step 3: Cross multiply
    6,486.77x = 9,724.55 × 5,505.99
  4. Step 4: Simplify right side
    6,486.77x = 53,543,247.52
  5. Step 5: Solve for x
    x = 53,543,247.52/6,486.77
  6. Step 6: Final answer
    x = 8,254.23

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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.