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Finding the Fourth Proportional to 7,648.46, 10,555.43 and 4,245.65

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Solution

The fourth proportional to 7,648.46, 10,555.43 and 4,245.65 is: 5,859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.46 : 10,555.43 = 4,245.65 : x
  2. Step 2: Convert to fraction form
    7,648.46/10,555.43 = 4,245.65/x
  3. Step 3: Cross multiply
    7,648.46x = 10,555.43 × 4,245.65
  4. Step 4: Simplify right side
    7,648.46x = 44,814,661.38
  5. Step 5: Solve for x
    x = 44,814,661.38/7,648.46
  6. Step 6: Final answer
    x = 5,859.31

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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.