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Finding the Fourth Proportional to 7,471.98, 11,201.49 and 4,387.50

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Solution

The fourth proportional to 7,471.98, 11,201.49 and 4,387.50 is: 6,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.98 : 11,201.49 = 4,387.50 : x
  2. Step 2: Convert to fraction form
    7,471.98/11,201.49 = 4,387.50/x
  3. Step 3: Cross multiply
    7,471.98x = 11,201.49 × 4,387.50
  4. Step 4: Simplify right side
    7,471.98x = 49,146,537.38
  5. Step 5: Solve for x
    x = 49,146,537.38/7,471.98
  6. Step 6: Final answer
    x = 6,577.44

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1.5x scale

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.