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Finding the Fourth Proportional to 5,600.78, 8,397.04 and 1,902.01

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Solution

The fourth proportional to 5,600.78, 8,397.04 and 1,902.01 is: 2,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.78 : 8,397.04 = 1,902.01 : x
  2. Step 2: Convert to fraction form
    5,600.78/8,397.04 = 1,902.01/x
  3. Step 3: Cross multiply
    5,600.78x = 8,397.04 × 1,902.01
  4. Step 4: Simplify right side
    5,600.78x = 15,971,254.05
  5. Step 5: Solve for x
    x = 15,971,254.05/5,600.78
  6. Step 6: Final answer
    x = 2,851.62

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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.