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Finding the Fourth Proportional to 16,315, 22,514.72 and 8,863

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Solution

The fourth proportional to 16,315, 22,514.72 and 8,863 is: 12,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315 : 22,514.72 = 8,863 : x
  2. Step 2: Convert to fraction form
    16,315/22,514.72 = 8,863/x
  3. Step 3: Cross multiply
    16,315x = 22,514.72 × 8,863
  4. Step 4: Simplify right side
    16,315x = 199,547,963.36
  5. Step 5: Solve for x
    x = 199,547,963.36/16,315
  6. Step 6: Final answer
    x = 12,230.95

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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.