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Finding the Fourth Proportional to 2,859.54, 3,945.96 and 1,680.45

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Solution

The fourth proportional to 2,859.54, 3,945.96 and 1,680.45 is: 2,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.54 : 3,945.96 = 1,680.45 : x
  2. Step 2: Convert to fraction form
    2,859.54/3,945.96 = 1,680.45/x
  3. Step 3: Cross multiply
    2,859.54x = 3,945.96 × 1,680.45
  4. Step 4: Simplify right side
    2,859.54x = 6,630,988.48
  5. Step 5: Solve for x
    x = 6,630,988.48/2,859.54
  6. Step 6: Final answer
    x = 2,318.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.