Home / 5,032-6,944.16-2,824

Finding the Fourth Proportional to 5,032, 6,944.16 and 2,824

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Solution

The fourth proportional to 5,032, 6,944.16 and 2,824 is: 3,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032 : 6,944.16 = 2,824 : x
  2. Step 2: Convert to fraction form
    5,032/6,944.16 = 2,824/x
  3. Step 3: Cross multiply
    5,032x = 6,944.16 × 2,824
  4. Step 4: Simplify right side
    5,032x = 19,610,307.84
  5. Step 5: Solve for x
    x = 19,610,307.84/5,032
  6. Step 6: Final answer
    x = 3,897.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.