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Finding the Fourth Proportional to 8,505.60, 12,758.40 and 6,775.68

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Solution

The fourth proportional to 8,505.60, 12,758.40 and 6,775.68 is: 10,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.60 : 12,758.40 = 6,775.68 : x
  2. Step 2: Convert to fraction form
    8,505.60/12,758.40 = 6,775.68/x
  3. Step 3: Cross multiply
    8,505.60x = 12,758.40 × 6,775.68
  4. Step 4: Simplify right side
    8,505.60x = 86,446,835.71
  5. Step 5: Solve for x
    x = 86,446,835.71/8,505.60
  6. Step 6: Final answer
    x = 10,163.52

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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.