Home / 1,972.41-2,958.37-511.45

Finding the Fourth Proportional to 1,972.41, 2,958.37 and 511.45

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Solution

The fourth proportional to 1,972.41, 2,958.37 and 511.45 is: 767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.41 : 2,958.37 = 511.45 : x
  2. Step 2: Convert to fraction form
    1,972.41/2,958.37 = 511.45/x
  3. Step 3: Cross multiply
    1,972.41x = 2,958.37 × 511.45
  4. Step 4: Simplify right side
    1,972.41x = 1,513,058.34
  5. Step 5: Solve for x
    x = 1,513,058.34/1,972.41
  6. Step 6: Final answer
    x = 767.11

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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.