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Finding the Fourth Proportional to 16,920, 23,349.78 and 9,366.48

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Solution

The fourth proportional to 16,920, 23,349.78 and 9,366.48 is: 12,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,920 : 23,349.78 = 9,366.48 : x
  2. Step 2: Convert to fraction form
    16,920/23,349.78 = 9,366.48/x
  3. Step 3: Cross multiply
    16,920x = 23,349.78 × 9,366.48
  4. Step 4: Simplify right side
    16,920x = 218,705,247.37
  5. Step 5: Solve for x
    x = 218,705,247.37/16,920
  6. Step 6: Final answer
    x = 12,925.84

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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.