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Finding the Fourth Proportional to 5,623.74, 7,758 and 3,636

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Solution

The fourth proportional to 5,623.74, 7,758 and 3,636 is: 5,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.74 : 7,758 = 3,636 : x
  2. Step 2: Convert to fraction form
    5,623.74/7,758 = 3,636/x
  3. Step 3: Cross multiply
    5,623.74x = 7,758 × 3,636
  4. Step 4: Simplify right side
    5,623.74x = 28,208,088
  5. Step 5: Solve for x
    x = 28,208,088/5,623.74
  6. Step 6: Final answer
    x = 5,015.89

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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.