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Finding the Fourth Proportional to 1,973.97, 2,960.96 and 513.13

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Solution

The fourth proportional to 1,973.97, 2,960.96 and 513.13 is: 769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.97 : 2,960.96 = 513.13 : x
  2. Step 2: Convert to fraction form
    1,973.97/2,960.96 = 513.13/x
  3. Step 3: Cross multiply
    1,973.97x = 2,960.96 × 513.13
  4. Step 4: Simplify right side
    1,973.97x = 1,519,357.40
  5. Step 5: Solve for x
    x = 1,519,357.40/1,973.97
  6. Step 6: Final answer
    x = 769.70

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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.