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Finding the Fourth Proportional to 7,048.92, 9,725.57 and 4,215.14

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Solution

The fourth proportional to 7,048.92, 9,725.57 and 4,215.14 is: 5,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.92 : 9,725.57 = 4,215.14 : x
  2. Step 2: Convert to fraction form
    7,048.92/9,725.57 = 4,215.14/x
  3. Step 3: Cross multiply
    7,048.92x = 9,725.57 × 4,215.14
  4. Step 4: Simplify right side
    7,048.92x = 40,994,621.70
  5. Step 5: Solve for x
    x = 40,994,621.70/7,048.92
  6. Step 6: Final answer
    x = 5,815.73

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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.