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Finding the Fourth Proportional to 12,783.72, 17,636.97 and 7,403.22

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Solution

The fourth proportional to 12,783.72, 17,636.97 and 7,403.22 is: 10,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.72 : 17,636.97 = 7,403.22 : x
  2. Step 2: Convert to fraction form
    12,783.72/17,636.97 = 7,403.22/x
  3. Step 3: Cross multiply
    12,783.72x = 17,636.97 × 7,403.22
  4. Step 4: Simplify right side
    12,783.72x = 130,570,369.04
  5. Step 5: Solve for x
    x = 130,570,369.04/12,783.72
  6. Step 6: Final answer
    x = 10,213.80

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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.