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Finding the Fourth Proportional to 3,045.80, 4,203.42 and 1,719.74

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Solution

The fourth proportional to 3,045.80, 4,203.42 and 1,719.74 is: 2,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.80 : 4,203.42 = 1,719.74 : x
  2. Step 2: Convert to fraction form
    3,045.80/4,203.42 = 1,719.74/x
  3. Step 3: Cross multiply
    3,045.80x = 4,203.42 × 1,719.74
  4. Step 4: Simplify right side
    3,045.80x = 7,228,789.51
  5. Step 5: Solve for x
    x = 7,228,789.51/3,045.80
  6. Step 6: Final answer
    x = 2,373.36

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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.