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Finding the Fourth Proportional to 2,681, 3,699.48 and 1,501.90

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Solution

The fourth proportional to 2,681, 3,699.48 and 1,501.90 is: 2,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681 : 3,699.48 = 1,501.90 : x
  2. Step 2: Convert to fraction form
    2,681/3,699.48 = 1,501.90/x
  3. Step 3: Cross multiply
    2,681x = 3,699.48 × 1,501.90
  4. Step 4: Simplify right side
    2,681x = 5,556,249.01
  5. Step 5: Solve for x
    x = 5,556,249.01/2,681
  6. Step 6: Final answer
    x = 2,072.45

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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.