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Finding the Fourth Proportional to 5,274.86, 7,913.92 and 1,812.12

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Solution

The fourth proportional to 5,274.86, 7,913.92 and 1,812.12 is: 2,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.86 : 7,913.92 = 1,812.12 : x
  2. Step 2: Convert to fraction form
    5,274.86/7,913.92 = 1,812.12/x
  3. Step 3: Cross multiply
    5,274.86x = 7,913.92 × 1,812.12
  4. Step 4: Simplify right side
    5,274.86x = 14,340,972.71
  5. Step 5: Solve for x
    x = 14,340,972.71/5,274.86
  6. Step 6: Final answer
    x = 2,718.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.