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Finding the Fourth Proportional to 5,235, 7,856.10 and 2,157

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Solution

The fourth proportional to 5,235, 7,856.10 and 2,157 is: 3,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235 : 7,856.10 = 2,157 : x
  2. Step 2: Convert to fraction form
    5,235/7,856.10 = 2,157/x
  3. Step 3: Cross multiply
    5,235x = 7,856.10 × 2,157
  4. Step 4: Simplify right side
    5,235x = 16,945,607.70
  5. Step 5: Solve for x
    x = 16,945,607.70/5,235
  6. Step 6: Final answer
    x = 3,236.98

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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.