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Finding the Fourth Proportional to 13,928.94, 19,221.94 and 7,641.32

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Solution

The fourth proportional to 13,928.94, 19,221.94 and 7,641.32 is: 10,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928.94 : 19,221.94 = 7,641.32 : x
  2. Step 2: Convert to fraction form
    13,928.94/19,221.94 = 7,641.32/x
  3. Step 3: Cross multiply
    13,928.94x = 19,221.94 × 7,641.32
  4. Step 4: Simplify right side
    13,928.94x = 146,880,898.45
  5. Step 5: Solve for x
    x = 146,880,898.45/13,928.94
  6. Step 6: Final answer
    x = 10,545.02

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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.