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Finding the Fourth Proportional to 18,689.70, 27,998.10 and 12,784.80

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Solution

The fourth proportional to 18,689.70, 27,998.10 and 12,784.80 is: 19,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,689.70 : 27,998.10 = 12,784.80 : x
  2. Step 2: Convert to fraction form
    18,689.70/27,998.10 = 12,784.80/x
  3. Step 3: Cross multiply
    18,689.70x = 27,998.10 × 12,784.80
  4. Step 4: Simplify right side
    18,689.70x = 357,950,108.88
  5. Step 5: Solve for x
    x = 357,950,108.88/18,689.70
  6. Step 6: Final answer
    x = 19,152.27

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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.