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Finding the Fourth Proportional to 11,699, 17,551.54 and 3,491

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Solution

The fourth proportional to 11,699, 17,551.54 and 3,491 is: 5,237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699 : 17,551.54 = 3,491 : x
  2. Step 2: Convert to fraction form
    11,699/17,551.54 = 3,491/x
  3. Step 3: Cross multiply
    11,699x = 17,551.54 × 3,491
  4. Step 4: Simplify right side
    11,699x = 61,272,426.14
  5. Step 5: Solve for x
    x = 61,272,426.14/11,699
  6. Step 6: Final answer
    x = 5,237.41

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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.