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Finding the Fourth Proportional to 1,889, 2,830.77 and 1,657.34

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Solution

The fourth proportional to 1,889, 2,830.77 and 1,657.34 is: 2,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889 : 2,830.77 = 1,657.34 : x
  2. Step 2: Convert to fraction form
    1,889/2,830.77 = 1,657.34/x
  3. Step 3: Cross multiply
    1,889x = 2,830.77 × 1,657.34
  4. Step 4: Simplify right side
    1,889x = 4,691,548.35
  5. Step 5: Solve for x
    x = 4,691,548.35/1,889
  6. Step 6: Final answer
    x = 2,483.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.