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Finding the Fourth Proportional to 21,642.75, 29,867.06 and 11,706.75

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Solution

The fourth proportional to 21,642.75, 29,867.06 and 11,706.75 is: 16,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.75 : 29,867.06 = 11,706.75 : x
  2. Step 2: Convert to fraction form
    21,642.75/29,867.06 = 11,706.75/x
  3. Step 3: Cross multiply
    21,642.75x = 29,867.06 × 11,706.75
  4. Step 4: Simplify right side
    21,642.75x = 349,646,146.12
  5. Step 5: Solve for x
    x = 349,646,146.12/21,642.75
  6. Step 6: Final answer
    x = 16,155.35

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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.