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Finding the Fourth Proportional to 8,751.60, 13,120.20 and 4,647.60

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Solution

The fourth proportional to 8,751.60, 13,120.20 and 4,647.60 is: 6,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,751.60 : 13,120.20 = 4,647.60 : x
  2. Step 2: Convert to fraction form
    8,751.60/13,120.20 = 4,647.60/x
  3. Step 3: Cross multiply
    8,751.60x = 13,120.20 × 4,647.60
  4. Step 4: Simplify right side
    8,751.60x = 60,977,441.52
  5. Step 5: Solve for x
    x = 60,977,441.52/8,751.60
  6. Step 6: Final answer
    x = 6,967.58

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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.