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Finding the Fourth Proportional to 30,989.64, 42,766.04 and 16,842.49

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Solution

The fourth proportional to 30,989.64, 42,766.04 and 16,842.49 is: 23,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.64 : 42,766.04 = 16,842.49 : x
  2. Step 2: Convert to fraction form
    30,989.64/42,766.04 = 16,842.49/x
  3. Step 3: Cross multiply
    30,989.64x = 42,766.04 × 16,842.49
  4. Step 4: Simplify right side
    30,989.64x = 720,286,601.04
  5. Step 5: Solve for x
    x = 720,286,601.04/30,989.64
  6. Step 6: Final answer
    x = 23,242.82

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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.