Home / 1,973.28-2,959.88-512.38

Finding the Fourth Proportional to 1,973.28, 2,959.88 and 512.38

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Solution

The fourth proportional to 1,973.28, 2,959.88 and 512.38 is: 768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.28 : 2,959.88 = 512.38 : x
  2. Step 2: Convert to fraction form
    1,973.28/2,959.88 = 512.38/x
  3. Step 3: Cross multiply
    1,973.28x = 2,959.88 × 512.38
  4. Step 4: Simplify right side
    1,973.28x = 1,516,583.31
  5. Step 5: Solve for x
    x = 1,516,583.31/1,973.28
  6. Step 6: Final answer
    x = 768.56

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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.