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Finding the Fourth Proportional to 1,957.96, 2,934.24 and 1,407.70

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Solution

The fourth proportional to 1,957.96, 2,934.24 and 1,407.70 is: 2,109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.96 : 2,934.24 = 1,407.70 : x
  2. Step 2: Convert to fraction form
    1,957.96/2,934.24 = 1,407.70/x
  3. Step 3: Cross multiply
    1,957.96x = 2,934.24 × 1,407.70
  4. Step 4: Simplify right side
    1,957.96x = 4,130,529.65
  5. Step 5: Solve for x
    x = 4,130,529.65/1,957.96
  6. Step 6: Final answer
    x = 2,109.61

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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.