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Finding the Fourth Proportional to 5,576.98, 7,690.49 and 3,897.77

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Solution

The fourth proportional to 5,576.98, 7,690.49 and 3,897.77 is: 5,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.98 : 7,690.49 = 3,897.77 : x
  2. Step 2: Convert to fraction form
    5,576.98/7,690.49 = 3,897.77/x
  3. Step 3: Cross multiply
    5,576.98x = 7,690.49 × 3,897.77
  4. Step 4: Simplify right side
    5,576.98x = 29,975,761.21
  5. Step 5: Solve for x
    x = 29,975,761.21/5,576.98
  6. Step 6: Final answer
    x = 5,374.91

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1.5x scale

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.