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Finding the Fourth Proportional to 2,328.08, 3,492.05 and 768.15

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Solution

The fourth proportional to 2,328.08, 3,492.05 and 768.15 is: 1,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.08 : 3,492.05 = 768.15 : x
  2. Step 2: Convert to fraction form
    2,328.08/3,492.05 = 768.15/x
  3. Step 3: Cross multiply
    2,328.08x = 3,492.05 × 768.15
  4. Step 4: Simplify right side
    2,328.08x = 2,682,414.37
  5. Step 5: Solve for x
    x = 2,682,414.37/2,328.08
  6. Step 6: Final answer
    x = 1,152.20

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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.