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Finding the Fourth Proportional to 5,200, 7,173.76 and 3,406.88

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Solution

The fourth proportional to 5,200, 7,173.76 and 3,406.88 is: 4,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200 : 7,173.76 = 3,406.88 : x
  2. Step 2: Convert to fraction form
    5,200/7,173.76 = 3,406.88/x
  3. Step 3: Cross multiply
    5,200x = 7,173.76 × 3,406.88
  4. Step 4: Simplify right side
    5,200x = 24,440,139.47
  5. Step 5: Solve for x
    x = 24,440,139.47/5,200
  6. Step 6: Final answer
    x = 4,700.03

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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.