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Finding the Fourth Proportional to 5,857.29, 8,780.64 and 2,157

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Solution

The fourth proportional to 5,857.29, 8,780.64 and 2,157 is: 3,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.29 : 8,780.64 = 2,157 : x
  2. Step 2: Convert to fraction form
    5,857.29/8,780.64 = 2,157/x
  3. Step 3: Cross multiply
    5,857.29x = 8,780.64 × 2,157
  4. Step 4: Simplify right side
    5,857.29x = 18,939,840.48
  5. Step 5: Solve for x
    x = 18,939,840.48/5,857.29
  6. Step 6: Final answer
    x = 3,233.55

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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.