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Finding the Fourth Proportional to 25,852.87, 35,712.15 and 20,258.38

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Solution

The fourth proportional to 25,852.87, 35,712.15 and 20,258.38 is: 27,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.87 : 35,712.15 = 20,258.38 : x
  2. Step 2: Convert to fraction form
    25,852.87/35,712.15 = 20,258.38/x
  3. Step 3: Cross multiply
    25,852.87x = 35,712.15 × 20,258.38
  4. Step 4: Simplify right side
    25,852.87x = 723,470,305.32
  5. Step 5: Solve for x
    x = 723,470,305.32/25,852.87
  6. Step 6: Final answer
    x = 27,984.14

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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.