Home / 5,214.19-7,822.51-1,516.49

Finding the Fourth Proportional to 5,214.19, 7,822.51 and 1,516.49

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Solution

The fourth proportional to 5,214.19, 7,822.51 and 1,516.49 is: 2,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.19 : 7,822.51 = 1,516.49 : x
  2. Step 2: Convert to fraction form
    5,214.19/7,822.51 = 1,516.49/x
  3. Step 3: Cross multiply
    5,214.19x = 7,822.51 × 1,516.49
  4. Step 4: Simplify right side
    5,214.19x = 11,862,758.19
  5. Step 5: Solve for x
    x = 11,862,758.19/5,214.19
  6. Step 6: Final answer
    x = 2,275.09

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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.