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Finding the Fourth Proportional to 5,383, 7,429.04 and 2,993.76

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Solution

The fourth proportional to 5,383, 7,429.04 and 2,993.76 is: 4,131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383 : 7,429.04 = 2,993.76 : x
  2. Step 2: Convert to fraction form
    5,383/7,429.04 = 2,993.76/x
  3. Step 3: Cross multiply
    5,383x = 7,429.04 × 2,993.76
  4. Step 4: Simplify right side
    5,383x = 22,240,762.79
  5. Step 5: Solve for x
    x = 22,240,762.79/5,383
  6. Step 6: Final answer
    x = 4,131.67

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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.