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Finding the Fourth Proportional to 2,129.34, 2,930.42 and 1,754.86

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Solution

The fourth proportional to 2,129.34, 2,930.42 and 1,754.86 is: 2,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.34 : 2,930.42 = 1,754.86 : x
  2. Step 2: Convert to fraction form
    2,129.34/2,930.42 = 1,754.86/x
  3. Step 3: Cross multiply
    2,129.34x = 2,930.42 × 1,754.86
  4. Step 4: Simplify right side
    2,129.34x = 5,142,476.84
  5. Step 5: Solve for x
    x = 5,142,476.84/2,129.34
  6. Step 6: Final answer
    x = 2,415.06

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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.