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Finding the Fourth Proportional to 2,125, 2,925.72 and 1,792.60

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Solution

The fourth proportional to 2,125, 2,925.72 and 1,792.60 is: 2,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125 : 2,925.72 = 1,792.60 : x
  2. Step 2: Convert to fraction form
    2,125/2,925.72 = 1,792.60/x
  3. Step 3: Cross multiply
    2,125x = 2,925.72 × 1,792.60
  4. Step 4: Simplify right side
    2,125x = 5,244,645.67
  5. Step 5: Solve for x
    x = 5,244,645.67/2,125
  6. Step 6: Final answer
    x = 2,468.07

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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.