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Finding the Fourth Proportional to 28,106.96, 38,786.44 and 16,162.16

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Solution

The fourth proportional to 28,106.96, 38,786.44 and 16,162.16 is: 22,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,106.96 : 38,786.44 = 16,162.16 : x
  2. Step 2: Convert to fraction form
    28,106.96/38,786.44 = 16,162.16/x
  3. Step 3: Cross multiply
    28,106.96x = 38,786.44 × 16,162.16
  4. Step 4: Simplify right side
    28,106.96x = 626,872,649.11
  5. Step 5: Solve for x
    x = 626,872,649.11/28,106.96
  6. Step 6: Final answer
    x = 22,303.11

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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.