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Finding the Fourth Proportional to 3,520, 5,280.07 and 1,329.76

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Solution

The fourth proportional to 3,520, 5,280.07 and 1,329.76 is: 1,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520 : 5,280.07 = 1,329.76 : x
  2. Step 2: Convert to fraction form
    3,520/5,280.07 = 1,329.76/x
  3. Step 3: Cross multiply
    3,520x = 5,280.07 × 1,329.76
  4. Step 4: Simplify right side
    3,520x = 7,021,225.88
  5. Step 5: Solve for x
    x = 7,021,225.88/3,520
  6. Step 6: Final answer
    x = 1,994.67

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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.