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Finding the Fourth Proportional to 16,821.10, 23,205.99 and 9,744.94

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Solution

The fourth proportional to 16,821.10, 23,205.99 and 9,744.94 is: 13,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.10 : 23,205.99 = 9,744.94 : x
  2. Step 2: Convert to fraction form
    16,821.10/23,205.99 = 9,744.94/x
  3. Step 3: Cross multiply
    16,821.10x = 23,205.99 × 9,744.94
  4. Step 4: Simplify right side
    16,821.10x = 226,140,980.19
  5. Step 5: Solve for x
    x = 226,140,980.19/16,821.10
  6. Step 6: Final answer
    x = 13,443.89

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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.