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Finding the Fourth Proportional to 4,983.78, 7,472 and 1,695.98

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Solution

The fourth proportional to 4,983.78, 7,472 and 1,695.98 is: 2,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.78 : 7,472 = 1,695.98 : x
  2. Step 2: Convert to fraction form
    4,983.78/7,472 = 1,695.98/x
  3. Step 3: Cross multiply
    4,983.78x = 7,472 × 1,695.98
  4. Step 4: Simplify right side
    4,983.78x = 12,672,362.56
  5. Step 5: Solve for x
    x = 12,672,362.56/4,983.78
  6. Step 6: Final answer
    x = 2,542.72

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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.