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Finding the Fourth Proportional to 3,458.84, 5,188.28 and 2,848.36

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Solution

The fourth proportional to 3,458.84, 5,188.28 and 2,848.36 is: 4,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.84 : 5,188.28 = 2,848.36 : x
  2. Step 2: Convert to fraction form
    3,458.84/5,188.28 = 2,848.36/x
  3. Step 3: Cross multiply
    3,458.84x = 5,188.28 × 2,848.36
  4. Step 4: Simplify right side
    3,458.84x = 14,778,089.22
  5. Step 5: Solve for x
    x = 14,778,089.22/3,458.84
  6. Step 6: Final answer
    x = 4,272.56

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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.