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Finding the Fourth Proportional to 2,866.92, 3,956.40 and 1,688.64

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Solution

The fourth proportional to 2,866.92, 3,956.40 and 1,688.64 is: 2,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.92 : 3,956.40 = 1,688.64 : x
  2. Step 2: Convert to fraction form
    2,866.92/3,956.40 = 1,688.64/x
  3. Step 3: Cross multiply
    2,866.92x = 3,956.40 × 1,688.64
  4. Step 4: Simplify right side
    2,866.92x = 6,680,935.30
  5. Step 5: Solve for x
    x = 6,680,935.30/2,866.92
  6. Step 6: Final answer
    x = 2,330.35

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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.