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Finding the Fourth Proportional to 1,612.76, 2,416.92 and 919.76

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Solution

The fourth proportional to 1,612.76, 2,416.92 and 919.76 is: 1,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.76 : 2,416.92 = 919.76 : x
  2. Step 2: Convert to fraction form
    1,612.76/2,416.92 = 919.76/x
  3. Step 3: Cross multiply
    1,612.76x = 2,416.92 × 919.76
  4. Step 4: Simplify right side
    1,612.76x = 2,222,986.34
  5. Step 5: Solve for x
    x = 2,222,986.34/1,612.76
  6. Step 6: Final answer
    x = 1,378.37

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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.