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Finding the Fourth Proportional to 7,403.77, 10,216.80 and 4,216.55

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Solution

The fourth proportional to 7,403.77, 10,216.80 and 4,216.55 is: 5,818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.77 : 10,216.80 = 4,216.55 : x
  2. Step 2: Convert to fraction form
    7,403.77/10,216.80 = 4,216.55/x
  3. Step 3: Cross multiply
    7,403.77x = 10,216.80 × 4,216.55
  4. Step 4: Simplify right side
    7,403.77x = 43,079,648.04
  5. Step 5: Solve for x
    x = 43,079,648.04/7,403.77
  6. Step 6: Final answer
    x = 5,818.61

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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.