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Finding the Fourth Proportional to 8,037.60, 10,816.20 and 8,037.60

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Solution

The fourth proportional to 8,037.60, 10,816.20 and 8,037.60 is: 10,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.60 : 10,816.20 = 8,037.60 : x
  2. Step 2: Convert to fraction form
    8,037.60/10,816.20 = 8,037.60/x
  3. Step 3: Cross multiply
    8,037.60x = 10,816.20 × 8,037.60
  4. Step 4: Simplify right side
    8,037.60x = 86,936,289.12
  5. Step 5: Solve for x
    x = 86,936,289.12/8,037.60
  6. Step 6: Final answer
    x = 10,816.20

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.