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Finding the Fourth Proportional to 5,681.80, 7,836.44 and 3,693

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Solution

The fourth proportional to 5,681.80, 7,836.44 and 3,693 is: 5,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.80 : 7,836.44 = 3,693 : x
  2. Step 2: Convert to fraction form
    5,681.80/7,836.44 = 3,693/x
  3. Step 3: Cross multiply
    5,681.80x = 7,836.44 × 3,693
  4. Step 4: Simplify right side
    5,681.80x = 28,939,954.46
  5. Step 5: Solve for x
    x = 28,939,954.46/5,681.80
  6. Step 6: Final answer
    x = 5,093.45

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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.