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Finding the Fourth Proportional to 16,821.84, 23,215.95 and 9,268.94

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Solution

The fourth proportional to 16,821.84, 23,215.95 and 9,268.94 is: 12,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.84 : 23,215.95 = 9,268.94 : x
  2. Step 2: Convert to fraction form
    16,821.84/23,215.95 = 9,268.94/x
  3. Step 3: Cross multiply
    16,821.84x = 23,215.95 × 9,268.94
  4. Step 4: Simplify right side
    16,821.84x = 215,187,247.59
  5. Step 5: Solve for x
    x = 215,187,247.59/16,821.84
  6. Step 6: Final answer
    x = 12,792.13

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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.