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Finding the Fourth Proportional to 6,718.65, 9,271.74 and 3,734.40

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Solution

The fourth proportional to 6,718.65, 9,271.74 and 3,734.40 is: 5,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.65 : 9,271.74 = 3,734.40 : x
  2. Step 2: Convert to fraction form
    6,718.65/9,271.74 = 3,734.40/x
  3. Step 3: Cross multiply
    6,718.65x = 9,271.74 × 3,734.40
  4. Step 4: Simplify right side
    6,718.65x = 34,624,385.86
  5. Step 5: Solve for x
    x = 34,624,385.86/6,718.65
  6. Step 6: Final answer
    x = 5,153.47

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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.