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Finding the Fourth Proportional to 18,123.80, 27,185.72 and 4,978.13

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Solution

The fourth proportional to 18,123.80, 27,185.72 and 4,978.13 is: 7,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123.80 : 27,185.72 = 4,978.13 : x
  2. Step 2: Convert to fraction form
    18,123.80/27,185.72 = 4,978.13/x
  3. Step 3: Cross multiply
    18,123.80x = 27,185.72 × 4,978.13
  4. Step 4: Simplify right side
    18,123.80x = 135,333,887.48
  5. Step 5: Solve for x
    x = 135,333,887.48/18,123.80
  6. Step 6: Final answer
    x = 7,467.19

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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.