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Finding the Fourth Proportional to 13,865.63, 19,135.04 and 7,578.41

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Solution

The fourth proportional to 13,865.63, 19,135.04 and 7,578.41 is: 10,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.63 : 19,135.04 = 7,578.41 : x
  2. Step 2: Convert to fraction form
    13,865.63/19,135.04 = 7,578.41/x
  3. Step 3: Cross multiply
    13,865.63x = 19,135.04 × 7,578.41
  4. Step 4: Simplify right side
    13,865.63x = 145,013,044.92
  5. Step 5: Solve for x
    x = 145,013,044.92/13,865.63
  6. Step 6: Final answer
    x = 10,458.46

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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.