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Finding the Fourth Proportional to 1,893.74, 2,840.61 and 1,770.76

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Solution

The fourth proportional to 1,893.74, 2,840.61 and 1,770.76 is: 2,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.74 : 2,840.61 = 1,770.76 : x
  2. Step 2: Convert to fraction form
    1,893.74/2,840.61 = 1,770.76/x
  3. Step 3: Cross multiply
    1,893.74x = 2,840.61 × 1,770.76
  4. Step 4: Simplify right side
    1,893.74x = 5,030,024.36
  5. Step 5: Solve for x
    x = 5,030,024.36/1,893.74
  6. Step 6: Final answer
    x = 2,656.13

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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.