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Finding the Fourth Proportional to 16,821.84, 23,213.84 and 10,020.60

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Solution

The fourth proportional to 16,821.84, 23,213.84 and 10,020.60 is: 13,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.84 : 23,213.84 = 10,020.60 : x
  2. Step 2: Convert to fraction form
    16,821.84/23,213.84 = 10,020.60/x
  3. Step 3: Cross multiply
    16,821.84x = 23,213.84 × 10,020.60
  4. Step 4: Simplify right side
    16,821.84x = 232,616,605.10
  5. Step 5: Solve for x
    x = 232,616,605.10/16,821.84
  6. Step 6: Final answer
    x = 13,828.25

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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.