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Finding the Fourth Proportional to 5,583.64, 7,713 and 4,472.56

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Solution

The fourth proportional to 5,583.64, 7,713 and 4,472.56 is: 6,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.64 : 7,713 = 4,472.56 : x
  2. Step 2: Convert to fraction form
    5,583.64/7,713 = 4,472.56/x
  3. Step 3: Cross multiply
    5,583.64x = 7,713 × 4,472.56
  4. Step 4: Simplify right side
    5,583.64x = 34,496,855.28
  5. Step 5: Solve for x
    x = 34,496,855.28/5,583.64
  6. Step 6: Final answer
    x = 6,178.20

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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.