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Finding the Fourth Proportional to 13,113.74, 19,674.26 and 5,718.84

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Solution

The fourth proportional to 13,113.74, 19,674.26 and 5,718.84 is: 8,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.74 : 19,674.26 = 5,718.84 : x
  2. Step 2: Convert to fraction form
    13,113.74/19,674.26 = 5,718.84/x
  3. Step 3: Cross multiply
    13,113.74x = 19,674.26 × 5,718.84
  4. Step 4: Simplify right side
    13,113.74x = 112,513,945.06
  5. Step 5: Solve for x
    x = 112,513,945.06/13,113.74
  6. Step 6: Final answer
    x = 8,579.85

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