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Finding the Fourth Proportional to 1,946.96, 2,921.35 and 851.18

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Solution

The fourth proportional to 1,946.96, 2,921.35 and 851.18 is: 1,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.96 : 2,921.35 = 851.18 : x
  2. Step 2: Convert to fraction form
    1,946.96/2,921.35 = 851.18/x
  3. Step 3: Cross multiply
    1,946.96x = 2,921.35 × 851.18
  4. Step 4: Simplify right side
    1,946.96x = 2,486,587.85
  5. Step 5: Solve for x
    x = 2,486,587.85/1,946.96
  6. Step 6: Final answer
    x = 1,277.17

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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.