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Finding the Fourth Proportional to 7,137.76, 10,706.76 and 1,943.76

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Solution

The fourth proportional to 7,137.76, 10,706.76 and 1,943.76 is: 2,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.76 : 10,706.76 = 1,943.76 : x
  2. Step 2: Convert to fraction form
    7,137.76/10,706.76 = 1,943.76/x
  3. Step 3: Cross multiply
    7,137.76x = 10,706.76 × 1,943.76
  4. Step 4: Simplify right side
    7,137.76x = 20,811,371.82
  5. Step 5: Solve for x
    x = 20,811,371.82/7,137.76
  6. Step 6: Final answer
    x = 2,915.67

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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.