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Finding the Fourth Proportional to 12,536.72, 18,780.70 and 6,973.19

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Solution

The fourth proportional to 12,536.72, 18,780.70 and 6,973.19 is: 10,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.72 : 18,780.70 = 6,973.19 : x
  2. Step 2: Convert to fraction form
    12,536.72/18,780.70 = 6,973.19/x
  3. Step 3: Cross multiply
    12,536.72x = 18,780.70 × 6,973.19
  4. Step 4: Simplify right side
    12,536.72x = 130,961,431.02
  5. Step 5: Solve for x
    x = 130,961,431.02/12,536.72
  6. Step 6: Final answer
    x = 10,446.23

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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.