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Finding the Fourth Proportional to 5,668.46, 8,502.78 and 1,970.81

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Solution

The fourth proportional to 5,668.46, 8,502.78 and 1,970.81 is: 2,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.46 : 8,502.78 = 1,970.81 : x
  2. Step 2: Convert to fraction form
    5,668.46/8,502.78 = 1,970.81/x
  3. Step 3: Cross multiply
    5,668.46x = 8,502.78 × 1,970.81
  4. Step 4: Simplify right side
    5,668.46x = 16,757,321.34
  5. Step 5: Solve for x
    x = 16,757,321.34/5,668.46
  6. Step 6: Final answer
    x = 2,956.24

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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.