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Finding the Fourth Proportional to 16,642.84, 22,961.58 and 10,980.40

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Solution

The fourth proportional to 16,642.84, 22,961.58 and 10,980.40 is: 15,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.84 : 22,961.58 = 10,980.40 : x
  2. Step 2: Convert to fraction form
    16,642.84/22,961.58 = 10,980.40/x
  3. Step 3: Cross multiply
    16,642.84x = 22,961.58 × 10,980.40
  4. Step 4: Simplify right side
    16,642.84x = 252,127,218.22
  5. Step 5: Solve for x
    x = 252,127,218.22/16,642.84
  6. Step 6: Final answer
    x = 15,149.30

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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.