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Finding the Fourth Proportional to 7,083.84, 9,775.64 and 3,940

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Solution

The fourth proportional to 7,083.84, 9,775.64 and 3,940 is: 5,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.84 : 9,775.64 = 3,940 : x
  2. Step 2: Convert to fraction form
    7,083.84/9,775.64 = 3,940/x
  3. Step 3: Cross multiply
    7,083.84x = 9,775.64 × 3,940
  4. Step 4: Simplify right side
    7,083.84x = 38,516,021.60
  5. Step 5: Solve for x
    x = 38,516,021.60/7,083.84
  6. Step 6: Final answer
    x = 5,437.17

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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.