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Finding the Fourth Proportional to 13,944.51, 19,243.18 and 7,656.84

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Solution

The fourth proportional to 13,944.51, 19,243.18 and 7,656.84 is: 10,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944.51 : 19,243.18 = 7,656.84 : x
  2. Step 2: Convert to fraction form
    13,944.51/19,243.18 = 7,656.84/x
  3. Step 3: Cross multiply
    13,944.51x = 19,243.18 × 7,656.84
  4. Step 4: Simplify right side
    13,944.51x = 147,341,950.35
  5. Step 5: Solve for x
    x = 147,341,950.35/13,944.51
  6. Step 6: Final answer
    x = 10,566.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.