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Finding the Fourth Proportional to 13,854, 19,119.33 and 7,885.92

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Solution

The fourth proportional to 13,854, 19,119.33 and 7,885.92 is: 10,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854 : 19,119.33 = 7,885.92 : x
  2. Step 2: Convert to fraction form
    13,854/19,119.33 = 7,885.92/x
  3. Step 3: Cross multiply
    13,854x = 19,119.33 × 7,885.92
  4. Step 4: Simplify right side
    13,854x = 150,773,506.83
  5. Step 5: Solve for x
    x = 150,773,506.83/13,854
  6. Step 6: Final answer
    x = 10,883.03

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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.