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Finding the Fourth Proportional to 2,971.29, 4,101.69 and 1,776.69

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Solution

The fourth proportional to 2,971.29, 4,101.69 and 1,776.69 is: 2,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.29 : 4,101.69 = 1,776.69 : x
  2. Step 2: Convert to fraction form
    2,971.29/4,101.69 = 1,776.69/x
  3. Step 3: Cross multiply
    2,971.29x = 4,101.69 × 1,776.69
  4. Step 4: Simplify right side
    2,971.29x = 7,287,431.61
  5. Step 5: Solve for x
    x = 7,287,431.61/2,971.29
  6. Step 6: Final answer
    x = 2,452.62

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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.