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Finding the Fourth Proportional to 7,208.50, 10,812.76 and 1,736.50

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Solution

The fourth proportional to 7,208.50, 10,812.76 and 1,736.50 is: 2,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.50 : 10,812.76 = 1,736.50 : x
  2. Step 2: Convert to fraction form
    7,208.50/10,812.76 = 1,736.50/x
  3. Step 3: Cross multiply
    7,208.50x = 10,812.76 × 1,736.50
  4. Step 4: Simplify right side
    7,208.50x = 18,776,357.74
  5. Step 5: Solve for x
    x = 18,776,357.74/7,208.50
  6. Step 6: Final answer
    x = 2,604.75

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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.