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Finding the Fourth Proportional to 5,276.68, 7,914.66 and 1,813.48

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Solution

The fourth proportional to 5,276.68, 7,914.66 and 1,813.48 is: 2,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.68 : 7,914.66 = 1,813.48 : x
  2. Step 2: Convert to fraction form
    5,276.68/7,914.66 = 1,813.48/x
  3. Step 3: Cross multiply
    5,276.68x = 7,914.66 × 1,813.48
  4. Step 4: Simplify right side
    5,276.68x = 14,353,077.62
  5. Step 5: Solve for x
    x = 14,353,077.62/5,276.68
  6. Step 6: Final answer
    x = 2,720.10

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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.