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Finding the Fourth Proportional to 1,819.60, 2,724.48 and 952.16

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Solution

The fourth proportional to 1,819.60, 2,724.48 and 952.16 is: 1,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.60 : 2,724.48 = 952.16 : x
  2. Step 2: Convert to fraction form
    1,819.60/2,724.48 = 952.16/x
  3. Step 3: Cross multiply
    1,819.60x = 2,724.48 × 952.16
  4. Step 4: Simplify right side
    1,819.60x = 2,594,140.88
  5. Step 5: Solve for x
    x = 2,594,140.88/1,819.60
  6. Step 6: Final answer
    x = 1,425.67

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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.