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Finding the Fourth Proportional to 10,920.81, 16,384.67 and 3,900.67

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Solution

The fourth proportional to 10,920.81, 16,384.67 and 3,900.67 is: 5,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.81 : 16,384.67 = 3,900.67 : x
  2. Step 2: Convert to fraction form
    10,920.81/16,384.67 = 3,900.67/x
  3. Step 3: Cross multiply
    10,920.81x = 16,384.67 × 3,900.67
  4. Step 4: Simplify right side
    10,920.81x = 63,911,206.33
  5. Step 5: Solve for x
    x = 63,911,206.33/10,920.81
  6. Step 6: Final answer
    x = 5,852.24

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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.