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Finding the Fourth Proportional to 2,752, 3,795.39 and 1,702.24

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Solution

The fourth proportional to 2,752, 3,795.39 and 1,702.24 is: 2,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752 : 3,795.39 = 1,702.24 : x
  2. Step 2: Convert to fraction form
    2,752/3,795.39 = 1,702.24/x
  3. Step 3: Cross multiply
    2,752x = 3,795.39 × 1,702.24
  4. Step 4: Simplify right side
    2,752x = 6,460,664.67
  5. Step 5: Solve for x
    x = 6,460,664.67/2,752
  6. Step 6: Final answer
    x = 2,347.63

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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.