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Finding the Fourth Proportional to 7,745.60, 10,820.80 and 7,745.60

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Solution

The fourth proportional to 7,745.60, 10,820.80 and 7,745.60 is: 10,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.60 : 10,820.80 = 7,745.60 : x
  2. Step 2: Convert to fraction form
    7,745.60/10,820.80 = 7,745.60/x
  3. Step 3: Cross multiply
    7,745.60x = 10,820.80 × 7,745.60
  4. Step 4: Simplify right side
    7,745.60x = 83,813,588.48
  5. Step 5: Solve for x
    x = 83,813,588.48/7,745.60
  6. Step 6: Final answer
    x = 10,820.80

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.