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Finding the Fourth Proportional to 8,647.44, 12,959.88 and 3,965.76

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Solution

The fourth proportional to 8,647.44, 12,959.88 and 3,965.76 is: 5,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.44 : 12,959.88 = 3,965.76 : x
  2. Step 2: Convert to fraction form
    8,647.44/12,959.88 = 3,965.76/x
  3. Step 3: Cross multiply
    8,647.44x = 12,959.88 × 3,965.76
  4. Step 4: Simplify right side
    8,647.44x = 51,395,773.71
  5. Step 5: Solve for x
    x = 51,395,773.71/8,647.44
  6. Step 6: Final answer
    x = 5,943.47

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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.