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Finding the Fourth Proportional to 2,171.82, 2,995.20 and 1,752

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Solution

The fourth proportional to 2,171.82, 2,995.20 and 1,752 is: 2,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.82 : 2,995.20 = 1,752 : x
  2. Step 2: Convert to fraction form
    2,171.82/2,995.20 = 1,752/x
  3. Step 3: Cross multiply
    2,171.82x = 2,995.20 × 1,752
  4. Step 4: Simplify right side
    2,171.82x = 5,247,590.40
  5. Step 5: Solve for x
    x = 5,247,590.40/2,171.82
  6. Step 6: Final answer
    x = 2,416.22

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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.