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Finding the Fourth Proportional to 21,656.83, 32,479.50 and 8,509.32

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Solution

The fourth proportional to 21,656.83, 32,479.50 and 8,509.32 is: 12,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,656.83 : 32,479.50 = 8,509.32 : x
  2. Step 2: Convert to fraction form
    21,656.83/32,479.50 = 8,509.32/x
  3. Step 3: Cross multiply
    21,656.83x = 32,479.50 × 8,509.32
  4. Step 4: Simplify right side
    21,656.83x = 276,378,458.94
  5. Step 5: Solve for x
    x = 276,378,458.94/21,656.83
  6. Step 6: Final answer
    x = 12,761.72

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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.