Home / 1,972.10-2,957.90-511.36

Finding the Fourth Proportional to 1,972.10, 2,957.90 and 511.36

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Solution

The fourth proportional to 1,972.10, 2,957.90 and 511.36 is: 766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.10 : 2,957.90 = 511.36 : x
  2. Step 2: Convert to fraction form
    1,972.10/2,957.90 = 511.36/x
  3. Step 3: Cross multiply
    1,972.10x = 2,957.90 × 511.36
  4. Step 4: Simplify right side
    1,972.10x = 1,512,551.74
  5. Step 5: Solve for x
    x = 1,512,551.74/1,972.10
  6. Step 6: Final answer
    x = 766.98

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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.