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Finding the Fourth Proportional to 13,851.74, 19,115.33 and 7,564.12

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Solution

The fourth proportional to 13,851.74, 19,115.33 and 7,564.12 is: 10,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.74 : 19,115.33 = 7,564.12 : x
  2. Step 2: Convert to fraction form
    13,851.74/19,115.33 = 7,564.12/x
  3. Step 3: Cross multiply
    13,851.74x = 19,115.33 × 7,564.12
  4. Step 4: Simplify right side
    13,851.74x = 144,590,573.29
  5. Step 5: Solve for x
    x = 144,590,573.29/13,851.74
  6. Step 6: Final answer
    x = 10,438.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.