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Finding the Fourth Proportional to 4,278.22, 6,416.04 and 1,813

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Solution

The fourth proportional to 4,278.22, 6,416.04 and 1,813 is: 2,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.22 : 6,416.04 = 1,813 : x
  2. Step 2: Convert to fraction form
    4,278.22/6,416.04 = 1,813/x
  3. Step 3: Cross multiply
    4,278.22x = 6,416.04 × 1,813
  4. Step 4: Simplify right side
    4,278.22x = 11,632,280.52
  5. Step 5: Solve for x
    x = 11,632,280.52/4,278.22
  6. Step 6: Final answer
    x = 2,718.95

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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.