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Finding the Fourth Proportional to 2,637.79, 3,640 and 1,575.58

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Solution

The fourth proportional to 2,637.79, 3,640 and 1,575.58 is: 2,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.79 : 3,640 = 1,575.58 : x
  2. Step 2: Convert to fraction form
    2,637.79/3,640 = 1,575.58/x
  3. Step 3: Cross multiply
    2,637.79x = 3,640 × 1,575.58
  4. Step 4: Simplify right side
    2,637.79x = 5,735,093
  5. Step 5: Solve for x
    x = 5,735,093/2,637.79
  6. Step 6: Final answer
    x = 2,174.21

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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.