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Finding the Fourth Proportional to 2,966.40, 4,450.38 and 992.70

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Solution

The fourth proportional to 2,966.40, 4,450.38 and 992.70 is: 1,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.40 : 4,450.38 = 992.70 : x
  2. Step 2: Convert to fraction form
    2,966.40/4,450.38 = 992.70/x
  3. Step 3: Cross multiply
    2,966.40x = 4,450.38 × 992.70
  4. Step 4: Simplify right side
    2,966.40x = 4,417,892.23
  5. Step 5: Solve for x
    x = 4,417,892.23/2,966.40
  6. Step 6: Final answer
    x = 1,489.31

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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.