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Finding the Fourth Proportional to 5,686.36, 7,848.18 and 4,257.88

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Solution

The fourth proportional to 5,686.36, 7,848.18 and 4,257.88 is: 5,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.36 : 7,848.18 = 4,257.88 : x
  2. Step 2: Convert to fraction form
    5,686.36/7,848.18 = 4,257.88/x
  3. Step 3: Cross multiply
    5,686.36x = 7,848.18 × 4,257.88
  4. Step 4: Simplify right side
    5,686.36x = 33,416,608.66
  5. Step 5: Solve for x
    x = 33,416,608.66/5,686.36
  6. Step 6: Final answer
    x = 5,876.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.