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Finding the Fourth Proportional to 2,176.99, 3,012.15 and 1,897.81

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Solution

The fourth proportional to 2,176.99, 3,012.15 and 1,897.81 is: 2,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.99 : 3,012.15 = 1,897.81 : x
  2. Step 2: Convert to fraction form
    2,176.99/3,012.15 = 1,897.81/x
  3. Step 3: Cross multiply
    2,176.99x = 3,012.15 × 1,897.81
  4. Step 4: Simplify right side
    2,176.99x = 5,716,488.39
  5. Step 5: Solve for x
    x = 5,716,488.39/2,176.99
  6. Step 6: Final answer
    x = 2,625.87

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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.