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Finding the Fourth Proportional to 12,805.78, 19,194.78 and 6,557.22

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Solution

The fourth proportional to 12,805.78, 19,194.78 and 6,557.22 is: 9,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.78 : 19,194.78 = 6,557.22 : x
  2. Step 2: Convert to fraction form
    12,805.78/19,194.78 = 6,557.22/x
  3. Step 3: Cross multiply
    12,805.78x = 19,194.78 × 6,557.22
  4. Step 4: Simplify right side
    12,805.78x = 125,864,395.31
  5. Step 5: Solve for x
    x = 125,864,395.31/12,805.78
  6. Step 6: Final answer
    x = 9,828.72

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1.5x scale

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.