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Finding the Fourth Proportional to 3,390, 4,676.90 and 2,130.54

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Solution

The fourth proportional to 3,390, 4,676.90 and 2,130.54 is: 2,939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390 : 4,676.90 = 2,130.54 : x
  2. Step 2: Convert to fraction form
    3,390/4,676.90 = 2,130.54/x
  3. Step 3: Cross multiply
    3,390x = 4,676.90 × 2,130.54
  4. Step 4: Simplify right side
    3,390x = 9,964,311.87
  5. Step 5: Solve for x
    x = 9,964,311.87/3,390
  6. Step 6: Final answer
    x = 2,939.33

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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.