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Finding the Fourth Proportional to 4,491.96, 6,739.56 and 1,570.70

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Solution

The fourth proportional to 4,491.96, 6,739.56 and 1,570.70 is: 2,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.96 : 6,739.56 = 1,570.70 : x
  2. Step 2: Convert to fraction form
    4,491.96/6,739.56 = 1,570.70/x
  3. Step 3: Cross multiply
    4,491.96x = 6,739.56 × 1,570.70
  4. Step 4: Simplify right side
    4,491.96x = 10,585,793.19
  5. Step 5: Solve for x
    x = 10,585,793.19/4,491.96
  6. Step 6: Final answer
    x = 2,356.61

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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.