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Finding the Fourth Proportional to 5,237, 7,859.10 and 2,159

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Solution

The fourth proportional to 5,237, 7,859.10 and 2,159 is: 3,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237 : 7,859.10 = 2,159 : x
  2. Step 2: Convert to fraction form
    5,237/7,859.10 = 2,159/x
  3. Step 3: Cross multiply
    5,237x = 7,859.10 × 2,159
  4. Step 4: Simplify right side
    5,237x = 16,967,796.90
  5. Step 5: Solve for x
    x = 16,967,796.90/5,237
  6. Step 6: Final answer
    x = 3,239.98

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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.