Home / 5,214.68-7,822.05-1,319.08

Finding the Fourth Proportional to 5,214.68, 7,822.05 and 1,319.08

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Solution

The fourth proportional to 5,214.68, 7,822.05 and 1,319.08 is: 1,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.68 : 7,822.05 = 1,319.08 : x
  2. Step 2: Convert to fraction form
    5,214.68/7,822.05 = 1,319.08/x
  3. Step 3: Cross multiply
    5,214.68x = 7,822.05 × 1,319.08
  4. Step 4: Simplify right side
    5,214.68x = 10,317,903.12
  5. Step 5: Solve for x
    x = 10,317,903.12/5,214.68
  6. Step 6: Final answer
    x = 1,978.63

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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.