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Finding the Fourth Proportional to 3,938.51, 5,904.57 and 1,472.97

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Solution

The fourth proportional to 3,938.51, 5,904.57 and 1,472.97 is: 2,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.51 : 5,904.57 = 1,472.97 : x
  2. Step 2: Convert to fraction form
    3,938.51/5,904.57 = 1,472.97/x
  3. Step 3: Cross multiply
    3,938.51x = 5,904.57 × 1,472.97
  4. Step 4: Simplify right side
    3,938.51x = 8,697,254.47
  5. Step 5: Solve for x
    x = 8,697,254.47/3,938.51
  6. Step 6: Final answer
    x = 2,208.26

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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.