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Finding the Fourth Proportional to 4,964.78, 7,446.94 and 1,678.01

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Solution

The fourth proportional to 4,964.78, 7,446.94 and 1,678.01 is: 2,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.78 : 7,446.94 = 1,678.01 : x
  2. Step 2: Convert to fraction form
    4,964.78/7,446.94 = 1,678.01/x
  3. Step 3: Cross multiply
    4,964.78x = 7,446.94 × 1,678.01
  4. Step 4: Simplify right side
    4,964.78x = 12,495,998.36
  5. Step 5: Solve for x
    x = 12,495,998.36/4,964.78
  6. Step 6: Final answer
    x = 2,516.93

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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.