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Finding the Fourth Proportional to 2,957.37, 4,079.37 and 1,761.57

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Solution

The fourth proportional to 2,957.37, 4,079.37 and 1,761.57 is: 2,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.37 : 4,079.37 = 1,761.57 : x
  2. Step 2: Convert to fraction form
    2,957.37/4,079.37 = 1,761.57/x
  3. Step 3: Cross multiply
    2,957.37x = 4,079.37 × 1,761.57
  4. Step 4: Simplify right side
    2,957.37x = 7,186,095.81
  5. Step 5: Solve for x
    x = 7,186,095.81/2,957.37
  6. Step 6: Final answer
    x = 2,429.89

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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.