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Finding the Fourth Proportional to 7,271.57, 10,905.19 and 2,654.93

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Solution

The fourth proportional to 7,271.57, 10,905.19 and 2,654.93 is: 3,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.57 : 10,905.19 = 2,654.93 : x
  2. Step 2: Convert to fraction form
    7,271.57/10,905.19 = 2,654.93/x
  3. Step 3: Cross multiply
    7,271.57x = 10,905.19 × 2,654.93
  4. Step 4: Simplify right side
    7,271.57x = 28,952,516.09
  5. Step 5: Solve for x
    x = 28,952,516.09/7,271.57
  6. Step 6: Final answer
    x = 3,981.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.