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Finding the Fourth Proportional to 7,300, 10,074 and 3,988

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Solution

The fourth proportional to 7,300, 10,074 and 3,988 is: 5,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300 : 10,074 = 3,988 : x
  2. Step 2: Convert to fraction form
    7,300/10,074 = 3,988/x
  3. Step 3: Cross multiply
    7,300x = 10,074 × 3,988
  4. Step 4: Simplify right side
    7,300x = 40,175,112
  5. Step 5: Solve for x
    x = 40,175,112/7,300
  6. Step 6: Final answer
    x = 5,503.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.