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Finding the Fourth Proportional to 7,644.20, 11,477.10 and 4,728.20

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Solution

The fourth proportional to 7,644.20, 11,477.10 and 4,728.20 is: 7,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.20 : 11,477.10 = 4,728.20 : x
  2. Step 2: Convert to fraction form
    7,644.20/11,477.10 = 4,728.20/x
  3. Step 3: Cross multiply
    7,644.20x = 11,477.10 × 4,728.20
  4. Step 4: Simplify right side
    7,644.20x = 54,266,024.22
  5. Step 5: Solve for x
    x = 54,266,024.22/7,644.20
  6. Step 6: Final answer
    x = 7,098.98

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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.