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Finding the Fourth Proportional to 12,140.64, 16,747.74 and 7,662.78

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Solution

The fourth proportional to 12,140.64, 16,747.74 and 7,662.78 is: 10,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.64 : 16,747.74 = 7,662.78 : x
  2. Step 2: Convert to fraction form
    12,140.64/16,747.74 = 7,662.78/x
  3. Step 3: Cross multiply
    12,140.64x = 16,747.74 × 7,662.78
  4. Step 4: Simplify right side
    12,140.64x = 128,334,247.12
  5. Step 5: Solve for x
    x = 128,334,247.12/12,140.64
  6. Step 6: Final answer
    x = 10,570.63

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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.