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Finding the Fourth Proportional to 7,145.34, 10,713.40 and 2,984.23

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Solution

The fourth proportional to 7,145.34, 10,713.40 and 2,984.23 is: 4,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.34 : 10,713.40 = 2,984.23 : x
  2. Step 2: Convert to fraction form
    7,145.34/10,713.40 = 2,984.23/x
  3. Step 3: Cross multiply
    7,145.34x = 10,713.40 × 2,984.23
  4. Step 4: Simplify right side
    7,145.34x = 31,971,234.25
  5. Step 5: Solve for x
    x = 31,971,234.25/7,145.34
  6. Step 6: Final answer
    x = 4,474.42

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1.5x scale

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.