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Finding the Fourth Proportional to 5,137.86, 7,090.25 and 2,780.00

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Solution

The fourth proportional to 5,137.86, 7,090.25 and 2,780.00 is: 3,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.86 : 7,090.25 = 2,780.00 : x
  2. Step 2: Convert to fraction form
    5,137.86/7,090.25 = 2,780.00/x
  3. Step 3: Cross multiply
    5,137.86x = 7,090.25 × 2,780.00
  4. Step 4: Simplify right side
    5,137.86x = 19,710,859.55
  5. Step 5: Solve for x
    x = 19,710,859.55/5,137.86
  6. Step 6: Final answer
    x = 3,836.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.