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Finding the Fourth Proportional to 4,877.36, 7,309.56 and 2,798

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Solution

The fourth proportional to 4,877.36, 7,309.56 and 2,798 is: 4,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.36 : 7,309.56 = 2,798 : x
  2. Step 2: Convert to fraction form
    4,877.36/7,309.56 = 2,798/x
  3. Step 3: Cross multiply
    4,877.36x = 7,309.56 × 2,798
  4. Step 4: Simplify right side
    4,877.36x = 20,452,148.88
  5. Step 5: Solve for x
    x = 20,452,148.88/4,877.36
  6. Step 6: Final answer
    x = 4,193.28

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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.