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Finding the Fourth Proportional to 2,657.76, 3,973.98 and 2,425.39

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Solution

The fourth proportional to 2,657.76, 3,973.98 and 2,425.39 is: 3,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.76 : 3,973.98 = 2,425.39 : x
  2. Step 2: Convert to fraction form
    2,657.76/3,973.98 = 2,425.39/x
  3. Step 3: Cross multiply
    2,657.76x = 3,973.98 × 2,425.39
  4. Step 4: Simplify right side
    2,657.76x = 9,638,450.51
  5. Step 5: Solve for x
    x = 9,638,450.51/2,657.76
  6. Step 6: Final answer
    x = 3,626.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.