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Finding the Fourth Proportional to 21,256.74, 31,888.74 and 6,467.12

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Solution

The fourth proportional to 21,256.74, 31,888.74 and 6,467.12 is: 9,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,256.74 : 31,888.74 = 6,467.12 : x
  2. Step 2: Convert to fraction form
    21,256.74/31,888.74 = 6,467.12/x
  3. Step 3: Cross multiply
    21,256.74x = 31,888.74 × 6,467.12
  4. Step 4: Simplify right side
    21,256.74x = 206,228,308.23
  5. Step 5: Solve for x
    x = 206,228,308.23/21,256.74
  6. Step 6: Final answer
    x = 9,701.78

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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.