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Finding the Fourth Proportional to 7,142.88, 9,857.78 and 4,159.65

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Solution

The fourth proportional to 7,142.88, 9,857.78 and 4,159.65 is: 5,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.88 : 9,857.78 = 4,159.65 : x
  2. Step 2: Convert to fraction form
    7,142.88/9,857.78 = 4,159.65/x
  3. Step 3: Cross multiply
    7,142.88x = 9,857.78 × 4,159.65
  4. Step 4: Simplify right side
    7,142.88x = 41,004,902.59
  5. Step 5: Solve for x
    x = 41,004,902.59/7,142.88
  6. Step 6: Final answer
    x = 5,740.67

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1.5x scale

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.