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Finding the Fourth Proportional to 6,718.89, 9,271.98 and 3,734.79

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Solution

The fourth proportional to 6,718.89, 9,271.98 and 3,734.79 is: 5,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.89 : 9,271.98 = 3,734.79 : x
  2. Step 2: Convert to fraction form
    6,718.89/9,271.98 = 3,734.79/x
  3. Step 3: Cross multiply
    6,718.89x = 9,271.98 × 3,734.79
  4. Step 4: Simplify right side
    6,718.89x = 34,628,898.18
  5. Step 5: Solve for x
    x = 34,628,898.18/6,718.89
  6. Step 6: Final answer
    x = 5,153.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.