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Finding the Fourth Proportional to 8,745.60, 13,099.20 and 7,772.80

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Solution

The fourth proportional to 8,745.60, 13,099.20 and 7,772.80 is: 11,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,745.60 : 13,099.20 = 7,772.80 : x
  2. Step 2: Convert to fraction form
    8,745.60/13,099.20 = 7,772.80/x
  3. Step 3: Cross multiply
    8,745.60x = 13,099.20 × 7,772.80
  4. Step 4: Simplify right side
    8,745.60x = 101,817,461.76
  5. Step 5: Solve for x
    x = 101,817,461.76/8,745.60
  6. Step 6: Final answer
    x = 11,642.14

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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.