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Finding the Fourth Proportional to 18,647.36, 27,980.76 and 7,562.24

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Solution

The fourth proportional to 18,647.36, 27,980.76 and 7,562.24 is: 11,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.36 : 27,980.76 = 7,562.24 : x
  2. Step 2: Convert to fraction form
    18,647.36/27,980.76 = 7,562.24/x
  3. Step 3: Cross multiply
    18,647.36x = 27,980.76 × 7,562.24
  4. Step 4: Simplify right side
    18,647.36x = 211,597,082.60
  5. Step 5: Solve for x
    x = 211,597,082.60/18,647.36
  6. Step 6: Final answer
    x = 11,347.30

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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.