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Finding the Fourth Proportional to 7,141.14, 9,868.33 and 5,369.67

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Solution

The fourth proportional to 7,141.14, 9,868.33 and 5,369.67 is: 7,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.14 : 9,868.33 = 5,369.67 : x
  2. Step 2: Convert to fraction form
    7,141.14/9,868.33 = 5,369.67/x
  3. Step 3: Cross multiply
    7,141.14x = 9,868.33 × 5,369.67
  4. Step 4: Simplify right side
    7,141.14x = 52,989,675.55
  5. Step 5: Solve for x
    x = 52,989,675.55/7,141.14
  6. Step 6: Final answer
    x = 7,420.34

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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.