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Finding the Fourth Proportional to 18,647.24, 27,970.92 and 12,786.08

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Solution

The fourth proportional to 18,647.24, 27,970.92 and 12,786.08 is: 19,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.24 : 27,970.92 = 12,786.08 : x
  2. Step 2: Convert to fraction form
    18,647.24/27,970.92 = 12,786.08/x
  3. Step 3: Cross multiply
    18,647.24x = 27,970.92 × 12,786.08
  4. Step 4: Simplify right side
    18,647.24x = 357,638,420.79
  5. Step 5: Solve for x
    x = 357,638,420.79/18,647.24
  6. Step 6: Final answer
    x = 19,179.16

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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.