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Finding the Fourth Proportional to 13,698.76, 18,903.97 and 7,730.54

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Solution

The fourth proportional to 13,698.76, 18,903.97 and 7,730.54 is: 10,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.76 : 18,903.97 = 7,730.54 : x
  2. Step 2: Convert to fraction form
    13,698.76/18,903.97 = 7,730.54/x
  3. Step 3: Cross multiply
    13,698.76x = 18,903.97 × 7,730.54
  4. Step 4: Simplify right side
    13,698.76x = 146,137,896.24
  5. Step 5: Solve for x
    x = 146,137,896.24/13,698.76
  6. Step 6: Final answer
    x = 10,667.97

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1.5x scale

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.