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Finding the Fourth Proportional to 8,590.56, 12,876.72 and 4,202

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Solution

The fourth proportional to 8,590.56, 12,876.72 and 4,202 is: 6,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.56 : 12,876.72 = 4,202 : x
  2. Step 2: Convert to fraction form
    8,590.56/12,876.72 = 4,202/x
  3. Step 3: Cross multiply
    8,590.56x = 12,876.72 × 4,202
  4. Step 4: Simplify right side
    8,590.56x = 54,107,977.44
  5. Step 5: Solve for x
    x = 54,107,977.44/8,590.56
  6. Step 6: Final answer
    x = 6,298.54

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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.