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Finding the Fourth Proportional to 5,100.78, 7,645.09 and 1,979.16

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Solution

The fourth proportional to 5,100.78, 7,645.09 and 1,979.16 is: 2,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.78 : 7,645.09 = 1,979.16 : x
  2. Step 2: Convert to fraction form
    5,100.78/7,645.09 = 1,979.16/x
  3. Step 3: Cross multiply
    5,100.78x = 7,645.09 × 1,979.16
  4. Step 4: Simplify right side
    5,100.78x = 15,130,856.32
  5. Step 5: Solve for x
    x = 15,130,856.32/5,100.78
  6. Step 6: Final answer
    x = 2,966.38

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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.