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Finding the Fourth Proportional to 2,719, 4,053.76 and 2,553.76

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Solution

The fourth proportional to 2,719, 4,053.76 and 2,553.76 is: 3,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719 : 4,053.76 = 2,553.76 : x
  2. Step 2: Convert to fraction form
    2,719/4,053.76 = 2,553.76/x
  3. Step 3: Cross multiply
    2,719x = 4,053.76 × 2,553.76
  4. Step 4: Simplify right side
    2,719x = 10,352,330.14
  5. Step 5: Solve for x
    x = 10,352,330.14/2,719
  6. Step 6: Final answer
    x = 3,807.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.