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Finding the Fourth Proportional to 1,754.10, 2,420.61 and 968.09

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Solution

The fourth proportional to 1,754.10, 2,420.61 and 968.09 is: 1,335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.10 : 2,420.61 = 968.09 : x
  2. Step 2: Convert to fraction form
    1,754.10/2,420.61 = 968.09/x
  3. Step 3: Cross multiply
    1,754.10x = 2,420.61 × 968.09
  4. Step 4: Simplify right side
    1,754.10x = 2,343,368.33
  5. Step 5: Solve for x
    x = 2,343,368.33/1,754.10
  6. Step 6: Final answer
    x = 1,335.94

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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.