Home / 12,966.56-19,456-6,398.32

Finding the Fourth Proportional to 12,966.56, 19,456 and 6,398.32

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Solution

The fourth proportional to 12,966.56, 19,456 and 6,398.32 is: 9,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.56 : 19,456 = 6,398.32 : x
  2. Step 2: Convert to fraction form
    12,966.56/19,456 = 6,398.32/x
  3. Step 3: Cross multiply
    12,966.56x = 19,456 × 6,398.32
  4. Step 4: Simplify right side
    12,966.56x = 124,485,713.92
  5. Step 5: Solve for x
    x = 124,485,713.92/12,966.56
  6. Step 6: Final answer
    x = 9,600.52

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Why These Related Problems?

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