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Finding the Fourth Proportional to 8,200.58, 11,315.77 and 4,663.85

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Solution

The fourth proportional to 8,200.58, 11,315.77 and 4,663.85 is: 6,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.58 : 11,315.77 = 4,663.85 : x
  2. Step 2: Convert to fraction form
    8,200.58/11,315.77 = 4,663.85/x
  3. Step 3: Cross multiply
    8,200.58x = 11,315.77 × 4,663.85
  4. Step 4: Simplify right side
    8,200.58x = 52,774,985.68
  5. Step 5: Solve for x
    x = 52,774,985.68/8,200.58
  6. Step 6: Final answer
    x = 6,435.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.