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Finding the Fourth Proportional to 8,274.12, 11,411.98 and 5,756.23

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Solution

The fourth proportional to 8,274.12, 11,411.98 and 5,756.23 is: 7,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.12 : 11,411.98 = 5,756.23 : x
  2. Step 2: Convert to fraction form
    8,274.12/11,411.98 = 5,756.23/x
  3. Step 3: Cross multiply
    8,274.12x = 11,411.98 × 5,756.23
  4. Step 4: Simplify right side
    8,274.12x = 65,689,981.64
  5. Step 5: Solve for x
    x = 65,689,981.64/8,274.12
  6. Step 6: Final answer
    x = 7,939.21

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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.