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Finding the Fourth Proportional to 3,698, 5,548.38 and 1,507.28

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Solution

The fourth proportional to 3,698, 5,548.38 and 1,507.28 is: 2,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698 : 5,548.38 = 1,507.28 : x
  2. Step 2: Convert to fraction form
    3,698/5,548.38 = 1,507.28/x
  3. Step 3: Cross multiply
    3,698x = 5,548.38 × 1,507.28
  4. Step 4: Simplify right side
    3,698x = 8,362,962.21
  5. Step 5: Solve for x
    x = 8,362,962.21/3,698
  6. Step 6: Final answer
    x = 2,261.48

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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.