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Finding the Fourth Proportional to 7,220.16, 10,830.16 and 2,289.67

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Solution

The fourth proportional to 7,220.16, 10,830.16 and 2,289.67 is: 3,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.16 : 10,830.16 = 2,289.67 : x
  2. Step 2: Convert to fraction form
    7,220.16/10,830.16 = 2,289.67/x
  3. Step 3: Cross multiply
    7,220.16x = 10,830.16 × 2,289.67
  4. Step 4: Simplify right side
    7,220.16x = 24,797,468.23
  5. Step 5: Solve for x
    x = 24,797,468.23/7,220.16
  6. Step 6: Final answer
    x = 3,434.48

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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.