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Finding the Fourth Proportional to 28,311.28, 42,467.01 and 8,590

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Solution

The fourth proportional to 28,311.28, 42,467.01 and 8,590 is: 12,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,311.28 : 42,467.01 = 8,590 : x
  2. Step 2: Convert to fraction form
    28,311.28/42,467.01 = 8,590/x
  3. Step 3: Cross multiply
    28,311.28x = 42,467.01 × 8,590
  4. Step 4: Simplify right side
    28,311.28x = 364,791,615.90
  5. Step 5: Solve for x
    x = 364,791,615.90/28,311.28
  6. Step 6: Final answer
    x = 12,885.03

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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.