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Finding the Fourth Proportional to 4,661.69, 6,430.49 and 2,981.34

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Solution

The fourth proportional to 4,661.69, 6,430.49 and 2,981.34 is: 4,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.69 : 6,430.49 = 2,981.34 : x
  2. Step 2: Convert to fraction form
    4,661.69/6,430.49 = 2,981.34/x
  3. Step 3: Cross multiply
    4,661.69x = 6,430.49 × 2,981.34
  4. Step 4: Simplify right side
    4,661.69x = 19,171,473.33
  5. Step 5: Solve for x
    x = 19,171,473.33/4,661.69
  6. Step 6: Final answer
    x = 4,112.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.