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Finding the Fourth Proportional to 1,957.89, 2,703.24 and 1,586.51

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Solution

The fourth proportional to 1,957.89, 2,703.24 and 1,586.51 is: 2,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.89 : 2,703.24 = 1,586.51 : x
  2. Step 2: Convert to fraction form
    1,957.89/2,703.24 = 1,586.51/x
  3. Step 3: Cross multiply
    1,957.89x = 2,703.24 × 1,586.51
  4. Step 4: Simplify right side
    1,957.89x = 4,288,717.29
  5. Step 5: Solve for x
    x = 4,288,717.29/1,957.89
  6. Step 6: Final answer
    x = 2,190.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.