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Finding the Fourth Proportional to 20,416, 28,176.24 and 12,964

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Solution

The fourth proportional to 20,416, 28,176.24 and 12,964 is: 17,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416 : 28,176.24 = 12,964 : x
  2. Step 2: Convert to fraction form
    20,416/28,176.24 = 12,964/x
  3. Step 3: Cross multiply
    20,416x = 28,176.24 × 12,964
  4. Step 4: Simplify right side
    20,416x = 365,276,775.36
  5. Step 5: Solve for x
    x = 365,276,775.36/20,416
  6. Step 6: Final answer
    x = 17,891.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.