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Finding the Fourth Proportional to 2,972.94, 4,459.64 and 892.79

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Solution

The fourth proportional to 2,972.94, 4,459.64 and 892.79 is: 1,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.94 : 4,459.64 = 892.79 : x
  2. Step 2: Convert to fraction form
    2,972.94/4,459.64 = 892.79/x
  3. Step 3: Cross multiply
    2,972.94x = 4,459.64 × 892.79
  4. Step 4: Simplify right side
    2,972.94x = 3,981,518.65
  5. Step 5: Solve for x
    x = 3,981,518.65/2,972.94
  6. Step 6: Final answer
    x = 1,339.25

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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.