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Finding the Fourth Proportional to 13,801.40, 19,045.86 and 7,513.82

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Solution

The fourth proportional to 13,801.40, 19,045.86 and 7,513.82 is: 10,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.40 : 19,045.86 = 7,513.82 : x
  2. Step 2: Convert to fraction form
    13,801.40/19,045.86 = 7,513.82/x
  3. Step 3: Cross multiply
    13,801.40x = 19,045.86 × 7,513.82
  4. Step 4: Simplify right side
    13,801.40x = 143,107,163.79
  5. Step 5: Solve for x
    x = 143,107,163.79/13,801.40
  6. Step 6: Final answer
    x = 10,369.03

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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.