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Finding the Fourth Proportional to 20,891.98, 31,337.66 and 8,411.68

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Solution

The fourth proportional to 20,891.98, 31,337.66 and 8,411.68 is: 12,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891.98 : 31,337.66 = 8,411.68 : x
  2. Step 2: Convert to fraction form
    20,891.98/31,337.66 = 8,411.68/x
  3. Step 3: Cross multiply
    20,891.98x = 31,337.66 × 8,411.68
  4. Step 4: Simplify right side
    20,891.98x = 263,602,511.83
  5. Step 5: Solve for x
    x = 263,602,511.83/20,891.98
  6. Step 6: Final answer
    x = 12,617.40

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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.