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Finding the Fourth Proportional to 15,684.21, 21,640.93 and 9,309.90

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Solution

The fourth proportional to 15,684.21, 21,640.93 and 9,309.90 is: 12,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.21 : 21,640.93 = 9,309.90 : x
  2. Step 2: Convert to fraction form
    15,684.21/21,640.93 = 9,309.90/x
  3. Step 3: Cross multiply
    15,684.21x = 21,640.93 × 9,309.90
  4. Step 4: Simplify right side
    15,684.21x = 201,474,926.25
  5. Step 5: Solve for x
    x = 201,474,926.25/15,684.21
  6. Step 6: Final answer
    x = 12,845.72

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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.