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Finding the Fourth Proportional to 21,782.56, 32,677.68 and 7,746.88

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Solution

The fourth proportional to 21,782.56, 32,677.68 and 7,746.88 is: 11,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.56 : 32,677.68 = 7,746.88 : x
  2. Step 2: Convert to fraction form
    21,782.56/32,677.68 = 7,746.88/x
  3. Step 3: Cross multiply
    21,782.56x = 32,677.68 × 7,746.88
  4. Step 4: Simplify right side
    21,782.56x = 253,150,065.64
  5. Step 5: Solve for x
    x = 253,150,065.64/21,782.56
  6. Step 6: Final answer
    x = 11,621.69

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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.