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Finding the Fourth Proportional to 1,582.20, 2,373.30 and 852.12

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Solution

The fourth proportional to 1,582.20, 2,373.30 and 852.12 is: 1,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.20 : 2,373.30 = 852.12 : x
  2. Step 2: Convert to fraction form
    1,582.20/2,373.30 = 852.12/x
  3. Step 3: Cross multiply
    1,582.20x = 2,373.30 × 852.12
  4. Step 4: Simplify right side
    1,582.20x = 2,022,336.40
  5. Step 5: Solve for x
    x = 2,022,336.40/1,582.20
  6. Step 6: Final answer
    x = 1,278.18

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Similar ratio
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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.