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Finding the Fourth Proportional to 1,971.91, 2,957.63 and 510.95

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Solution

The fourth proportional to 1,971.91, 2,957.63 and 510.95 is: 766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.91 : 2,957.63 = 510.95 : x
  2. Step 2: Convert to fraction form
    1,971.91/2,957.63 = 510.95/x
  3. Step 3: Cross multiply
    1,971.91x = 2,957.63 × 510.95
  4. Step 4: Simplify right side
    1,971.91x = 1,511,183.71
  5. Step 5: Solve for x
    x = 1,511,183.71/1,971.91
  6. Step 6: Final answer
    x = 766.36

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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.