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Finding the Fourth Proportional to 15,804.21, 21,809.82 and 8,634.20

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Solution

The fourth proportional to 15,804.21, 21,809.82 and 8,634.20 is: 11,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.21 : 21,809.82 = 8,634.20 : x
  2. Step 2: Convert to fraction form
    15,804.21/21,809.82 = 8,634.20/x
  3. Step 3: Cross multiply
    15,804.21x = 21,809.82 × 8,634.20
  4. Step 4: Simplify right side
    15,804.21x = 188,310,271.17
  5. Step 5: Solve for x
    x = 188,310,271.17/15,804.21
  6. Step 6: Final answer
    x = 11,915.19

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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.