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Finding the Fourth Proportional to 21,642.81, 29,867.10 and 12,212.25

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Solution

The fourth proportional to 21,642.81, 29,867.10 and 12,212.25 is: 16,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.81 : 29,867.10 = 12,212.25 : x
  2. Step 2: Convert to fraction form
    21,642.81/29,867.10 = 12,212.25/x
  3. Step 3: Cross multiply
    21,642.81x = 29,867.10 × 12,212.25
  4. Step 4: Simplify right side
    21,642.81x = 364,744,342.64
  5. Step 5: Solve for x
    x = 364,744,342.64/21,642.81
  6. Step 6: Final answer
    x = 16,852.91

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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.