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Finding the Fourth Proportional to 4,964.89, 7,448.05 and 1,678.92

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Solution

The fourth proportional to 4,964.89, 7,448.05 and 1,678.92 is: 2,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.89 : 7,448.05 = 1,678.92 : x
  2. Step 2: Convert to fraction form
    4,964.89/7,448.05 = 1,678.92/x
  3. Step 3: Cross multiply
    4,964.89x = 7,448.05 × 1,678.92
  4. Step 4: Simplify right side
    4,964.89x = 12,504,671.71
  5. Step 5: Solve for x
    x = 12,504,671.71/4,964.89
  6. Step 6: Final answer
    x = 2,518.62

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1.5x scale

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.