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Finding the Fourth Proportional to 2,128.20, 2,983.80 and 2,128.20

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Solution

The fourth proportional to 2,128.20, 2,983.80 and 2,128.20 is: 2,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.20 : 2,983.80 = 2,128.20 : x
  2. Step 2: Convert to fraction form
    2,128.20/2,983.80 = 2,128.20/x
  3. Step 3: Cross multiply
    2,128.20x = 2,983.80 × 2,128.20
  4. Step 4: Simplify right side
    2,128.20x = 6,350,123.16
  5. Step 5: Solve for x
    x = 6,350,123.16/2,128.20
  6. Step 6: Final answer
    x = 2,983.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.