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Finding the Fourth Proportional to 14,284.92, 19,714.95 and 8,622.92

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Solution

The fourth proportional to 14,284.92, 19,714.95 and 8,622.92 is: 11,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.92 : 19,714.95 = 8,622.92 : x
  2. Step 2: Convert to fraction form
    14,284.92/19,714.95 = 8,622.92/x
  3. Step 3: Cross multiply
    14,284.92x = 19,714.95 × 8,622.92
  4. Step 4: Simplify right side
    14,284.92x = 170,000,436.65
  5. Step 5: Solve for x
    x = 170,000,436.65/14,284.92
  6. Step 6: Final answer
    x = 11,900.69

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1.5x scale

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.