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Finding the Fourth Proportional to 5,217, 7,829.10 and 2,139

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Solution

The fourth proportional to 5,217, 7,829.10 and 2,139 is: 3,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217 : 7,829.10 = 2,139 : x
  2. Step 2: Convert to fraction form
    5,217/7,829.10 = 2,139/x
  3. Step 3: Cross multiply
    5,217x = 7,829.10 × 2,139
  4. Step 4: Simplify right side
    5,217x = 16,746,444.90
  5. Step 5: Solve for x
    x = 16,746,444.90/5,217
  6. Step 6: Final answer
    x = 3,209.98

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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.