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Finding the Fourth Proportional to 13,532.63, 18,675.38 and 7,565.31

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Solution

The fourth proportional to 13,532.63, 18,675.38 and 7,565.31 is: 10,440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.63 : 18,675.38 = 7,565.31 : x
  2. Step 2: Convert to fraction form
    13,532.63/18,675.38 = 7,565.31/x
  3. Step 3: Cross multiply
    13,532.63x = 18,675.38 × 7,565.31
  4. Step 4: Simplify right side
    13,532.63x = 141,285,057.98
  5. Step 5: Solve for x
    x = 141,285,057.98/13,532.63
  6. Step 6: Final answer
    x = 10,440.33

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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.