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Finding the Fourth Proportional to 4,972.87, 7,472.98 and 4,647.78

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Solution

The fourth proportional to 4,972.87, 7,472.98 and 4,647.78 is: 6,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.87 : 7,472.98 = 4,647.78 : x
  2. Step 2: Convert to fraction form
    4,972.87/7,472.98 = 4,647.78/x
  3. Step 3: Cross multiply
    4,972.87x = 7,472.98 × 4,647.78
  4. Step 4: Simplify right side
    4,972.87x = 34,732,755.36
  5. Step 5: Solve for x
    x = 34,732,755.36/4,972.87
  6. Step 6: Final answer
    x = 6,984.45

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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.