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Finding the Fourth Proportional to 4,966.28, 7,447.08 and 1,678.40

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Solution

The fourth proportional to 4,966.28, 7,447.08 and 1,678.40 is: 2,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.28 : 7,447.08 = 1,678.40 : x
  2. Step 2: Convert to fraction form
    4,966.28/7,447.08 = 1,678.40/x
  3. Step 3: Cross multiply
    4,966.28x = 7,447.08 × 1,678.40
  4. Step 4: Simplify right side
    4,966.28x = 12,499,179.07
  5. Step 5: Solve for x
    x = 12,499,179.07/4,966.28
  6. Step 6: Final answer
    x = 2,516.81

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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.