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Finding the Fourth Proportional to 13,699.63, 18,905.49 and 7,412

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Solution

The fourth proportional to 13,699.63, 18,905.49 and 7,412 is: 10,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.63 : 18,905.49 = 7,412 : x
  2. Step 2: Convert to fraction form
    13,699.63/18,905.49 = 7,412/x
  3. Step 3: Cross multiply
    13,699.63x = 18,905.49 × 7,412
  4. Step 4: Simplify right side
    13,699.63x = 140,127,454.82
  5. Step 5: Solve for x
    x = 140,127,454.82/13,699.63
  6. Step 6: Final answer
    x = 10,228.56

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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.