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Finding the Fourth Proportional to 5,586.40, 8,379.50 and 4,714.50

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Solution

The fourth proportional to 5,586.40, 8,379.50 and 4,714.50 is: 7,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.40 : 8,379.50 = 4,714.50 : x
  2. Step 2: Convert to fraction form
    5,586.40/8,379.50 = 4,714.50/x
  3. Step 3: Cross multiply
    5,586.40x = 8,379.50 × 4,714.50
  4. Step 4: Simplify right side
    5,586.40x = 39,505,148.49
  5. Step 5: Solve for x
    x = 39,505,148.49/5,586.40
  6. Step 6: Final answer
    x = 7,071.67

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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.