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Finding the Fourth Proportional to 26,946, 40,420.44 and 8,479.44

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Solution

The fourth proportional to 26,946, 40,420.44 and 8,479.44 is: 12,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,946 : 40,420.44 = 8,479.44 : x
  2. Step 2: Convert to fraction form
    26,946/40,420.44 = 8,479.44/x
  3. Step 3: Cross multiply
    26,946x = 40,420.44 × 8,479.44
  4. Step 4: Simplify right side
    26,946x = 342,742,695.75
  5. Step 5: Solve for x
    x = 342,742,695.75/26,946
  6. Step 6: Final answer
    x = 12,719.61

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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.