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Finding the Fourth Proportional to 28,026, 42,031.83 and 8,299.95

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Solution

The fourth proportional to 28,026, 42,031.83 and 8,299.95 is: 12,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,026 : 42,031.83 = 8,299.95 : x
  2. Step 2: Convert to fraction form
    28,026/42,031.83 = 8,299.95/x
  3. Step 3: Cross multiply
    28,026x = 42,031.83 × 8,299.95
  4. Step 4: Simplify right side
    28,026x = 348,862,087.41
  5. Step 5: Solve for x
    x = 348,862,087.41/28,026
  6. Step 6: Final answer
    x = 12,447.80

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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.