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Finding the Fourth Proportional to 3,507.84, 5,260.86 and 1,042.09

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Solution

The fourth proportional to 3,507.84, 5,260.86 and 1,042.09 is: 1,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.84 : 5,260.86 = 1,042.09 : x
  2. Step 2: Convert to fraction form
    3,507.84/5,260.86 = 1,042.09/x
  3. Step 3: Cross multiply
    3,507.84x = 5,260.86 × 1,042.09
  4. Step 4: Simplify right side
    3,507.84x = 5,482,276.45
  5. Step 5: Solve for x
    x = 5,482,276.45/3,507.84
  6. Step 6: Final answer
    x = 1,562.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.