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Finding the Fourth Proportional to 6,718.74, 9,265.66 and 4,200.05

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Solution

The fourth proportional to 6,718.74, 9,265.66 and 4,200.05 is: 5,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.74 : 9,265.66 = 4,200.05 : x
  2. Step 2: Convert to fraction form
    6,718.74/9,265.66 = 4,200.05/x
  3. Step 3: Cross multiply
    6,718.74x = 9,265.66 × 4,200.05
  4. Step 4: Simplify right side
    6,718.74x = 38,916,235.28
  5. Step 5: Solve for x
    x = 38,916,235.28/6,718.74
  6. Step 6: Final answer
    x = 5,792.19

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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.