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Finding the Fourth Proportional to 26,929, 40,395.12 and 8,461

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Solution

The fourth proportional to 26,929, 40,395.12 and 8,461 is: 12,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,929 : 40,395.12 = 8,461 : x
  2. Step 2: Convert to fraction form
    26,929/40,395.12 = 8,461/x
  3. Step 3: Cross multiply
    26,929x = 40,395.12 × 8,461
  4. Step 4: Simplify right side
    26,929x = 341,783,110.32
  5. Step 5: Solve for x
    x = 341,783,110.32/26,929
  6. Step 6: Final answer
    x = 12,692.01

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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.