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Finding the Fourth Proportional to 8,500.53, 12,750.26 and 5,214.09

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Solution

The fourth proportional to 8,500.53, 12,750.26 and 5,214.09 is: 7,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.53 : 12,750.26 = 5,214.09 : x
  2. Step 2: Convert to fraction form
    8,500.53/12,750.26 = 5,214.09/x
  3. Step 3: Cross multiply
    8,500.53x = 12,750.26 × 5,214.09
  4. Step 4: Simplify right side
    8,500.53x = 66,480,977.09
  5. Step 5: Solve for x
    x = 66,480,977.09/8,500.53
  6. Step 6: Final answer
    x = 7,820.80

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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.