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Finding the Fourth Proportional to 5,258.57, 7,256.93 and 2,868.50

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Solution

The fourth proportional to 5,258.57, 7,256.93 and 2,868.50 is: 3,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.57 : 7,256.93 = 2,868.50 : x
  2. Step 2: Convert to fraction form
    5,258.57/7,256.93 = 2,868.50/x
  3. Step 3: Cross multiply
    5,258.57x = 7,256.93 × 2,868.50
  4. Step 4: Simplify right side
    5,258.57x = 20,816,507.50
  5. Step 5: Solve for x
    x = 20,816,507.50/5,258.57
  6. Step 6: Final answer
    x = 3,958.59

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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.