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Finding the Fourth Proportional to 13,294.98, 19,903.86 and 7,731.36

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Solution

The fourth proportional to 13,294.98, 19,903.86 and 7,731.36 is: 11,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.98 : 19,903.86 = 7,731.36 : x
  2. Step 2: Convert to fraction form
    13,294.98/19,903.86 = 7,731.36/x
  3. Step 3: Cross multiply
    13,294.98x = 19,903.86 × 7,731.36
  4. Step 4: Simplify right side
    13,294.98x = 153,883,907.05
  5. Step 5: Solve for x
    x = 153,883,907.05/13,294.98
  6. Step 6: Final answer
    x = 11,574.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.