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Finding the Fourth Proportional to 8,490.83, 12,674.14 and 7,865.44

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Solution

The fourth proportional to 8,490.83, 12,674.14 and 7,865.44 is: 11,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.83 : 12,674.14 = 7,865.44 : x
  2. Step 2: Convert to fraction form
    8,490.83/12,674.14 = 7,865.44/x
  3. Step 3: Cross multiply
    8,490.83x = 12,674.14 × 7,865.44
  4. Step 4: Simplify right side
    8,490.83x = 99,687,636.37
  5. Step 5: Solve for x
    x = 99,687,636.37/8,490.83
  6. Step 6: Final answer
    x = 11,740.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.