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Finding the Fourth Proportional to 12,538.40, 18,809.76 and 5,146.88

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Solution

The fourth proportional to 12,538.40, 18,809.76 and 5,146.88 is: 7,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.40 : 18,809.76 = 5,146.88 : x
  2. Step 2: Convert to fraction form
    12,538.40/18,809.76 = 5,146.88/x
  3. Step 3: Cross multiply
    12,538.40x = 18,809.76 × 5,146.88
  4. Step 4: Simplify right side
    12,538.40x = 96,811,577.55
  5. Step 5: Solve for x
    x = 96,811,577.55/12,538.40
  6. Step 6: Final answer
    x = 7,721.21

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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.