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Finding the Fourth Proportional to 6,447.67, 8,895.12 and 4,208.74

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Solution

The fourth proportional to 6,447.67, 8,895.12 and 4,208.74 is: 5,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.67 : 8,895.12 = 4,208.74 : x
  2. Step 2: Convert to fraction form
    6,447.67/8,895.12 = 4,208.74/x
  3. Step 3: Cross multiply
    6,447.67x = 8,895.12 × 4,208.74
  4. Step 4: Simplify right side
    6,447.67x = 37,437,247.35
  5. Step 5: Solve for x
    x = 37,437,247.35/6,447.67
  6. Step 6: Final answer
    x = 5,806.32

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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.