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Finding the Fourth Proportional to 26,699, 40,051.74 and 8,231

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Solution

The fourth proportional to 26,699, 40,051.74 and 8,231 is: 12,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,699 : 40,051.74 = 8,231 : x
  2. Step 2: Convert to fraction form
    26,699/40,051.74 = 8,231/x
  3. Step 3: Cross multiply
    26,699x = 40,051.74 × 8,231
  4. Step 4: Simplify right side
    26,699x = 329,665,871.94
  5. Step 5: Solve for x
    x = 329,665,871.94/26,699
  6. Step 6: Final answer
    x = 12,347.50

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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.