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Finding the Fourth Proportional to 4,694.61, 7,042.82 and 1,407.42

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Solution

The fourth proportional to 4,694.61, 7,042.82 and 1,407.42 is: 2,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.61 : 7,042.82 = 1,407.42 : x
  2. Step 2: Convert to fraction form
    4,694.61/7,042.82 = 1,407.42/x
  3. Step 3: Cross multiply
    4,694.61x = 7,042.82 × 1,407.42
  4. Step 4: Simplify right side
    4,694.61x = 9,912,235.65
  5. Step 5: Solve for x
    x = 9,912,235.65/4,694.61
  6. Step 6: Final answer
    x = 2,111.41

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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.