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Finding the Fourth Proportional to 13,923.37, 19,214.85 and 7,955.49

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Solution

The fourth proportional to 13,923.37, 19,214.85 and 7,955.49 is: 10,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.37 : 19,214.85 = 7,955.49 : x
  2. Step 2: Convert to fraction form
    13,923.37/19,214.85 = 7,955.49/x
  3. Step 3: Cross multiply
    13,923.37x = 19,214.85 × 7,955.49
  4. Step 4: Simplify right side
    13,923.37x = 152,863,547.03
  5. Step 5: Solve for x
    x = 152,863,547.03/13,923.37
  6. Step 6: Final answer
    x = 10,978.92

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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.