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Finding the Fourth Proportional to 30,342.40, 41,872.08 and 16,914.16

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Solution

The fourth proportional to 30,342.40, 41,872.08 and 16,914.16 is: 23,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.40 : 41,872.08 = 16,914.16 : x
  2. Step 2: Convert to fraction form
    30,342.40/41,872.08 = 16,914.16/x
  3. Step 3: Cross multiply
    30,342.40x = 41,872.08 × 16,914.16
  4. Step 4: Simplify right side
    30,342.40x = 708,231,060.65
  5. Step 5: Solve for x
    x = 708,231,060.65/30,342.40
  6. Step 6: Final answer
    x = 23,341.30

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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.