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Finding the Fourth Proportional to 1,679.86, 2,510.95 and 1,458.73

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Solution

The fourth proportional to 1,679.86, 2,510.95 and 1,458.73 is: 2,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.86 : 2,510.95 = 1,458.73 : x
  2. Step 2: Convert to fraction form
    1,679.86/2,510.95 = 1,458.73/x
  3. Step 3: Cross multiply
    1,679.86x = 2,510.95 × 1,458.73
  4. Step 4: Simplify right side
    1,679.86x = 3,662,801.74
  5. Step 5: Solve for x
    x = 3,662,801.74/1,679.86
  6. Step 6: Final answer
    x = 2,180.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.