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Finding the Fourth Proportional to 5,100.64, 7,649.64 and 1,813.76

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Solution

The fourth proportional to 5,100.64, 7,649.64 and 1,813.76 is: 2,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.64 : 7,649.64 = 1,813.76 : x
  2. Step 2: Convert to fraction form
    5,100.64/7,649.64 = 1,813.76/x
  3. Step 3: Cross multiply
    5,100.64x = 7,649.64 × 1,813.76
  4. Step 4: Simplify right side
    5,100.64x = 13,874,601.48
  5. Step 5: Solve for x
    x = 13,874,601.48/5,100.64
  6. Step 6: Final answer
    x = 2,720.17

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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.