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Finding the Fourth Proportional to 12,478.16, 18,716.56 and 7,546.48

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Solution

The fourth proportional to 12,478.16, 18,716.56 and 7,546.48 is: 11,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.16 : 18,716.56 = 7,546.48 : x
  2. Step 2: Convert to fraction form
    12,478.16/18,716.56 = 7,546.48/x
  3. Step 3: Cross multiply
    12,478.16x = 18,716.56 × 7,546.48
  4. Step 4: Simplify right side
    12,478.16x = 141,244,145.71
  5. Step 5: Solve for x
    x = 141,244,145.71/12,478.16
  6. Step 6: Final answer
    x = 11,319.31

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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.