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Finding the Fourth Proportional to 2,197.76, 3,030.90 and 1,450.76

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Solution

The fourth proportional to 2,197.76, 3,030.90 and 1,450.76 is: 2,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.76 : 3,030.90 = 1,450.76 : x
  2. Step 2: Convert to fraction form
    2,197.76/3,030.90 = 1,450.76/x
  3. Step 3: Cross multiply
    2,197.76x = 3,030.90 × 1,450.76
  4. Step 4: Simplify right side
    2,197.76x = 4,397,108.48
  5. Step 5: Solve for x
    x = 4,397,108.48/2,197.76
  6. Step 6: Final answer
    x = 2,000.72

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.