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Finding the Fourth Proportional to 5,142.76, 7,713.82 and 2,219

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Solution

The fourth proportional to 5,142.76, 7,713.82 and 2,219 is: 3,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.76 : 7,713.82 = 2,219 : x
  2. Step 2: Convert to fraction form
    5,142.76/7,713.82 = 2,219/x
  3. Step 3: Cross multiply
    5,142.76x = 7,713.82 × 2,219
  4. Step 4: Simplify right side
    5,142.76x = 17,116,966.58
  5. Step 5: Solve for x
    x = 17,116,966.58/5,142.76
  6. Step 6: Final answer
    x = 3,328.36

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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.