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Finding the Fourth Proportional to 26,749, 40,123.50 and 8,281

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Solution

The fourth proportional to 26,749, 40,123.50 and 8,281 is: 12,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,749 : 40,123.50 = 8,281 : x
  2. Step 2: Convert to fraction form
    26,749/40,123.50 = 8,281/x
  3. Step 3: Cross multiply
    26,749x = 40,123.50 × 8,281
  4. Step 4: Simplify right side
    26,749x = 332,262,703.50
  5. Step 5: Solve for x
    x = 332,262,703.50/26,749
  6. Step 6: Final answer
    x = 12,421.50

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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.