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Finding the Fourth Proportional to 12,856.36, 17,741.54 and 7,267.36

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Solution

The fourth proportional to 12,856.36, 17,741.54 and 7,267.36 is: 10,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.36 : 17,741.54 = 7,267.36 : x
  2. Step 2: Convert to fraction form
    12,856.36/17,741.54 = 7,267.36/x
  3. Step 3: Cross multiply
    12,856.36x = 17,741.54 × 7,267.36
  4. Step 4: Simplify right side
    12,856.36x = 128,934,033.09
  5. Step 5: Solve for x
    x = 128,934,033.09/12,856.36
  6. Step 6: Final answer
    x = 10,028.82

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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.