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Finding the Fourth Proportional to 8,647.68, 12,976.20 and 6,045.60

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Solution

The fourth proportional to 8,647.68, 12,976.20 and 6,045.60 is: 9,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.68 : 12,976.20 = 6,045.60 : x
  2. Step 2: Convert to fraction form
    8,647.68/12,976.20 = 6,045.60/x
  3. Step 3: Cross multiply
    8,647.68x = 12,976.20 × 6,045.60
  4. Step 4: Simplify right side
    8,647.68x = 78,448,914.72
  5. Step 5: Solve for x
    x = 78,448,914.72/8,647.68
  6. Step 6: Final answer
    x = 9,071.67

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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.