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Finding the Fourth Proportional to 3,123.60, 4,378.80 and 3,123.60

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Solution

The fourth proportional to 3,123.60, 4,378.80 and 3,123.60 is: 4,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.60 : 4,378.80 = 3,123.60 : x
  2. Step 2: Convert to fraction form
    3,123.60/4,378.80 = 3,123.60/x
  3. Step 3: Cross multiply
    3,123.60x = 4,378.80 × 3,123.60
  4. Step 4: Simplify right side
    3,123.60x = 13,677,619.68
  5. Step 5: Solve for x
    x = 13,677,619.68/3,123.60
  6. Step 6: Final answer
    x = 4,378.80

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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.