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Finding the Fourth Proportional to 18,679, 25,778.64 and 10,297.12

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Solution

The fourth proportional to 18,679, 25,778.64 and 10,297.12 is: 14,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,679 : 25,778.64 = 10,297.12 : x
  2. Step 2: Convert to fraction form
    18,679/25,778.64 = 10,297.12/x
  3. Step 3: Cross multiply
    18,679x = 25,778.64 × 10,297.12
  4. Step 4: Simplify right side
    18,679x = 265,445,749.52
  5. Step 5: Solve for x
    x = 265,445,749.52/18,679
  6. Step 6: Final answer
    x = 14,210.92

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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.