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Finding the Fourth Proportional to 15,815.08, 23,715.66 and 8,417.78

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Solution

The fourth proportional to 15,815.08, 23,715.66 and 8,417.78 is: 12,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.08 : 23,715.66 = 8,417.78 : x
  2. Step 2: Convert to fraction form
    15,815.08/23,715.66 = 8,417.78/x
  3. Step 3: Cross multiply
    15,815.08x = 23,715.66 × 8,417.78
  4. Step 4: Simplify right side
    15,815.08x = 199,633,208.43
  5. Step 5: Solve for x
    x = 199,633,208.43/15,815.08
  6. Step 6: Final answer
    x = 12,622.97

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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.