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Finding the Fourth Proportional to 5,394, 7,443.66 and 3,036.12

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Solution

The fourth proportional to 5,394, 7,443.66 and 3,036.12 is: 4,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394 : 7,443.66 = 3,036.12 : x
  2. Step 2: Convert to fraction form
    5,394/7,443.66 = 3,036.12/x
  3. Step 3: Cross multiply
    5,394x = 7,443.66 × 3,036.12
  4. Step 4: Simplify right side
    5,394x = 22,599,845.00
  5. Step 5: Solve for x
    x = 22,599,845.00/5,394
  6. Step 6: Final answer
    x = 4,189.81

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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.