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Finding the Fourth Proportional to 27,825, 38,407.14 and 16,649.16

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Solution

The fourth proportional to 27,825, 38,407.14 and 16,649.16 is: 22,981.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825 : 38,407.14 = 16,649.16 : x
  2. Step 2: Convert to fraction form
    27,825/38,407.14 = 16,649.16/x
  3. Step 3: Cross multiply
    27,825x = 38,407.14 × 16,649.16
  4. Step 4: Simplify right side
    27,825x = 639,446,619.00
  5. Step 5: Solve for x
    x = 639,446,619.00/27,825
  6. Step 6: Final answer
    x = 22,981.01

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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.