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Finding the Fourth Proportional to 1,972, 2,959.08 and 946

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Solution

The fourth proportional to 1,972, 2,959.08 and 946 is: 1,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972 : 2,959.08 = 946 : x
  2. Step 2: Convert to fraction form
    1,972/2,959.08 = 946/x
  3. Step 3: Cross multiply
    1,972x = 2,959.08 × 946
  4. Step 4: Simplify right side
    1,972x = 2,799,289.68
  5. Step 5: Solve for x
    x = 2,799,289.68/1,972
  6. Step 6: Final answer
    x = 1,419.52

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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.