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Finding the Fourth Proportional to 3,938.59, 5,907.89 and 3,698.02

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Solution

The fourth proportional to 3,938.59, 5,907.89 and 3,698.02 is: 5,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.59 : 5,907.89 = 3,698.02 : x
  2. Step 2: Convert to fraction form
    3,938.59/5,907.89 = 3,698.02/x
  3. Step 3: Cross multiply
    3,938.59x = 5,907.89 × 3,698.02
  4. Step 4: Simplify right side
    3,938.59x = 21,847,495.38
  5. Step 5: Solve for x
    x = 21,847,495.38/3,938.59
  6. Step 6: Final answer
    x = 5,547.03

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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.