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Finding the Fourth Proportional to 12,662.64, 19,010.40 and 9,743.04

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Solution

The fourth proportional to 12,662.64, 19,010.40 and 9,743.04 is: 14,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.64 : 19,010.40 = 9,743.04 : x
  2. Step 2: Convert to fraction form
    12,662.64/19,010.40 = 9,743.04/x
  3. Step 3: Cross multiply
    12,662.64x = 19,010.40 × 9,743.04
  4. Step 4: Simplify right side
    12,662.64x = 185,219,087.62
  5. Step 5: Solve for x
    x = 185,219,087.62/12,662.64
  6. Step 6: Final answer
    x = 14,627.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.