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Finding the Fourth Proportional to 5,270.40, 7,274.88 and 3,698.88

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Solution

The fourth proportional to 5,270.40, 7,274.88 and 3,698.88 is: 5,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.40 : 7,274.88 = 3,698.88 : x
  2. Step 2: Convert to fraction form
    5,270.40/7,274.88 = 3,698.88/x
  3. Step 3: Cross multiply
    5,270.40x = 7,274.88 × 3,698.88
  4. Step 4: Simplify right side
    5,270.40x = 26,908,908.13
  5. Step 5: Solve for x
    x = 26,908,908.13/5,270.40
  6. Step 6: Final answer
    x = 5,105.67

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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.