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Finding the Fourth Proportional to 5,271.89, 7,905.14 and 1,760.63

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Solution

The fourth proportional to 5,271.89, 7,905.14 and 1,760.63 is: 2,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.89 : 7,905.14 = 1,760.63 : x
  2. Step 2: Convert to fraction form
    5,271.89/7,905.14 = 1,760.63/x
  3. Step 3: Cross multiply
    5,271.89x = 7,905.14 × 1,760.63
  4. Step 4: Simplify right side
    5,271.89x = 13,918,026.64
  5. Step 5: Solve for x
    x = 13,918,026.64/5,271.89
  6. Step 6: Final answer
    x = 2,640.04

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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.