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Finding the Fourth Proportional to 6,288.67, 8,677.68 and 3,635.68

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Solution

The fourth proportional to 6,288.67, 8,677.68 and 3,635.68 is: 5,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.67 : 8,677.68 = 3,635.68 : x
  2. Step 2: Convert to fraction form
    6,288.67/8,677.68 = 3,635.68/x
  3. Step 3: Cross multiply
    6,288.67x = 8,677.68 × 3,635.68
  4. Step 4: Simplify right side
    6,288.67x = 31,549,267.62
  5. Step 5: Solve for x
    x = 31,549,267.62/6,288.67
  6. Step 6: Final answer
    x = 5,016.84

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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.