Home / 27,412.96-37,830-16,234.24

Finding the Fourth Proportional to 27,412.96, 37,830 and 16,234.24

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Solution

The fourth proportional to 27,412.96, 37,830 and 16,234.24 is: 22,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.96 : 37,830 = 16,234.24 : x
  2. Step 2: Convert to fraction form
    27,412.96/37,830 = 16,234.24/x
  3. Step 3: Cross multiply
    27,412.96x = 37,830 × 16,234.24
  4. Step 4: Simplify right side
    27,412.96x = 614,141,299.20
  5. Step 5: Solve for x
    x = 614,141,299.20/27,412.96
  6. Step 6: Final answer
    x = 22,403.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.