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Finding the Fourth Proportional to 5,239, 7,858.50 and 1,591

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Solution

The fourth proportional to 5,239, 7,858.50 and 1,591 is: 2,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239 : 7,858.50 = 1,591 : x
  2. Step 2: Convert to fraction form
    5,239/7,858.50 = 1,591/x
  3. Step 3: Cross multiply
    5,239x = 7,858.50 × 1,591
  4. Step 4: Simplify right side
    5,239x = 12,502,873.50
  5. Step 5: Solve for x
    x = 12,502,873.50/5,239
  6. Step 6: Final answer
    x = 2,386.50

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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.