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Finding the Fourth Proportional to 8,321.55, 12,451.07 and 4,977.50

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Solution

The fourth proportional to 8,321.55, 12,451.07 and 4,977.50 is: 7,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.55 : 12,451.07 = 4,977.50 : x
  2. Step 2: Convert to fraction form
    8,321.55/12,451.07 = 4,977.50/x
  3. Step 3: Cross multiply
    8,321.55x = 12,451.07 × 4,977.50
  4. Step 4: Simplify right side
    8,321.55x = 61,975,113.78
  5. Step 5: Solve for x
    x = 61,975,113.78/8,321.55
  6. Step 6: Final answer
    x = 7,447.54

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1.5x scale

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.