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Finding the Fourth Proportional to 4,216, 6,316.08 and 3,897.76

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Solution

The fourth proportional to 4,216, 6,316.08 and 3,897.76 is: 5,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216 : 6,316.08 = 3,897.76 : x
  2. Step 2: Convert to fraction form
    4,216/6,316.08 = 3,897.76/x
  3. Step 3: Cross multiply
    4,216x = 6,316.08 × 3,897.76
  4. Step 4: Simplify right side
    4,216x = 24,618,563.98
  5. Step 5: Solve for x
    x = 24,618,563.98/4,216
  6. Step 6: Final answer
    x = 5,839.32

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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.