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Finding the Fourth Proportional to 2,459.70, 3,390.39 and 2,139.86

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Solution

The fourth proportional to 2,459.70, 3,390.39 and 2,139.86 is: 2,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.70 : 3,390.39 = 2,139.86 : x
  2. Step 2: Convert to fraction form
    2,459.70/3,390.39 = 2,139.86/x
  3. Step 3: Cross multiply
    2,459.70x = 3,390.39 × 2,139.86
  4. Step 4: Simplify right side
    2,459.70x = 7,254,942.99
  5. Step 5: Solve for x
    x = 7,254,942.99/2,459.70
  6. Step 6: Final answer
    x = 2,949.52

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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.