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Finding the Fourth Proportional to 8,123.60, 10,975.50 and 8,123.60

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Solution

The fourth proportional to 8,123.60, 10,975.50 and 8,123.60 is: 10,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.60 : 10,975.50 = 8,123.60 : x
  2. Step 2: Convert to fraction form
    8,123.60/10,975.50 = 8,123.60/x
  3. Step 3: Cross multiply
    8,123.60x = 10,975.50 × 8,123.60
  4. Step 4: Simplify right side
    8,123.60x = 89,160,571.80
  5. Step 5: Solve for x
    x = 89,160,571.80/8,123.60
  6. Step 6: Final answer
    x = 10,975.50

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