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Finding the Fourth Proportional to 13,978.98, 19,291.11 and 7,605.70

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Solution

The fourth proportional to 13,978.98, 19,291.11 and 7,605.70 is: 10,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.98 : 19,291.11 = 7,605.70 : x
  2. Step 2: Convert to fraction form
    13,978.98/19,291.11 = 7,605.70/x
  3. Step 3: Cross multiply
    13,978.98x = 19,291.11 × 7,605.70
  4. Step 4: Simplify right side
    13,978.98x = 146,722,361.36
  5. Step 5: Solve for x
    x = 146,722,361.36/13,978.98
  6. Step 6: Final answer
    x = 10,495.93

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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.