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Finding the Fourth Proportional to 26,868, 40,302.12 and 8,400

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Solution

The fourth proportional to 26,868, 40,302.12 and 8,400 is: 12,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,868 : 40,302.12 = 8,400 : x
  2. Step 2: Convert to fraction form
    26,868/40,302.12 = 8,400/x
  3. Step 3: Cross multiply
    26,868x = 40,302.12 × 8,400
  4. Step 4: Simplify right side
    26,868x = 338,537,808
  5. Step 5: Solve for x
    x = 338,537,808/26,868
  6. Step 6: Final answer
    x = 12,600.04

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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.