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Finding the Fourth Proportional to 8,194.01, 11,312.39 and 5,407.61

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Solution

The fourth proportional to 8,194.01, 11,312.39 and 5,407.61 is: 7,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.01 : 11,312.39 = 5,407.61 : x
  2. Step 2: Convert to fraction form
    8,194.01/11,312.39 = 5,407.61/x
  3. Step 3: Cross multiply
    8,194.01x = 11,312.39 × 5,407.61
  4. Step 4: Simplify right side
    8,194.01x = 61,172,950.24
  5. Step 5: Solve for x
    x = 61,172,950.24/8,194.01
  6. Step 6: Final answer
    x = 7,465.57

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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.