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Finding the Fourth Proportional to 5,274.74, 7,913.32 and 1,987.89

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Solution

The fourth proportional to 5,274.74, 7,913.32 and 1,987.89 is: 2,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.74 : 7,913.32 = 1,987.89 : x
  2. Step 2: Convert to fraction form
    5,274.74/7,913.32 = 1,987.89/x
  3. Step 3: Cross multiply
    5,274.74x = 7,913.32 × 1,987.89
  4. Step 4: Simplify right side
    5,274.74x = 15,730,804.73
  5. Step 5: Solve for x
    x = 15,730,804.73/5,274.74
  6. Step 6: Final answer
    x = 2,982.29

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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.