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Finding the Fourth Proportional to 11,948, 17,922.48 and 3,740

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Solution

The fourth proportional to 11,948, 17,922.48 and 3,740 is: 5,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948 : 17,922.48 = 3,740 : x
  2. Step 2: Convert to fraction form
    11,948/17,922.48 = 3,740/x
  3. Step 3: Cross multiply
    11,948x = 17,922.48 × 3,740
  4. Step 4: Simplify right side
    11,948x = 67,030,075.20
  5. Step 5: Solve for x
    x = 67,030,075.20/11,948
  6. Step 6: Final answer
    x = 5,610.15

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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.