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Finding the Fourth Proportional to 7,228.85, 9,976.02 and 4,042.06

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Solution

The fourth proportional to 7,228.85, 9,976.02 and 4,042.06 is: 5,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.85 : 9,976.02 = 4,042.06 : x
  2. Step 2: Convert to fraction form
    7,228.85/9,976.02 = 4,042.06/x
  3. Step 3: Cross multiply
    7,228.85x = 9,976.02 × 4,042.06
  4. Step 4: Simplify right side
    7,228.85x = 40,323,671.40
  5. Step 5: Solve for x
    x = 40,323,671.40/7,228.85
  6. Step 6: Final answer
    x = 5,578.16

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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.