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Finding the Fourth Proportional to 16,820, 23,211.60 and 9,368.48

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Solution

The fourth proportional to 16,820, 23,211.60 and 9,368.48 is: 12,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820 : 23,211.60 = 9,368.48 : x
  2. Step 2: Convert to fraction form
    16,820/23,211.60 = 9,368.48/x
  3. Step 3: Cross multiply
    16,820x = 23,211.60 × 9,368.48
  4. Step 4: Simplify right side
    16,820x = 217,457,410.37
  5. Step 5: Solve for x
    x = 217,457,410.37/16,820
  6. Step 6: Final answer
    x = 12,928.50

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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.