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Finding the Fourth Proportional to 30,871.16, 42,601.92 and 16,723.16

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Solution

The fourth proportional to 30,871.16, 42,601.92 and 16,723.16 is: 23,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.16 : 42,601.92 = 16,723.16 : x
  2. Step 2: Convert to fraction form
    30,871.16/42,601.92 = 16,723.16/x
  3. Step 3: Cross multiply
    30,871.16x = 42,601.92 × 16,723.16
  4. Step 4: Simplify right side
    30,871.16x = 712,438,724.47
  5. Step 5: Solve for x
    x = 712,438,724.47/30,871.16
  6. Step 6: Final answer
    x = 23,077.81

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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.