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Finding the Fourth Proportional to 3,713.46, 5,570.36 and 1,520.65

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Solution

The fourth proportional to 3,713.46, 5,570.36 and 1,520.65 is: 2,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.46 : 5,570.36 = 1,520.65 : x
  2. Step 2: Convert to fraction form
    3,713.46/5,570.36 = 1,520.65/x
  3. Step 3: Cross multiply
    3,713.46x = 5,570.36 × 1,520.65
  4. Step 4: Simplify right side
    3,713.46x = 8,470,555.19
  5. Step 5: Solve for x
    x = 8,470,555.19/3,713.46
  6. Step 6: Final answer
    x = 2,281.04

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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.