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Finding the Fourth Proportional to 15,805.32, 21,784.32 and 12,261.84

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Solution

The fourth proportional to 15,805.32, 21,784.32 and 12,261.84 is: 16,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.32 : 21,784.32 = 12,261.84 : x
  2. Step 2: Convert to fraction form
    15,805.32/21,784.32 = 12,261.84/x
  3. Step 3: Cross multiply
    15,805.32x = 21,784.32 × 12,261.84
  4. Step 4: Simplify right side
    15,805.32x = 267,115,846.35
  5. Step 5: Solve for x
    x = 267,115,846.35/15,805.32
  6. Step 6: Final answer
    x = 16,900.38

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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.