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Finding the Fourth Proportional to 2,859.76, 3,946.08 and 1,680.64

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Solution

The fourth proportional to 2,859.76, 3,946.08 and 1,680.64 is: 2,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.76 : 3,946.08 = 1,680.64 : x
  2. Step 2: Convert to fraction form
    2,859.76/3,946.08 = 1,680.64/x
  3. Step 3: Cross multiply
    2,859.76x = 3,946.08 × 1,680.64
  4. Step 4: Simplify right side
    2,859.76x = 6,631,939.89
  5. Step 5: Solve for x
    x = 6,631,939.89/2,859.76
  6. Step 6: Final answer
    x = 2,319.05

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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.