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Finding the Fourth Proportional to 12,596.34, 18,856.19 and 8,402.77

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Solution

The fourth proportional to 12,596.34, 18,856.19 and 8,402.77 is: 12,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.34 : 18,856.19 = 8,402.77 : x
  2. Step 2: Convert to fraction form
    12,596.34/18,856.19 = 8,402.77/x
  3. Step 3: Cross multiply
    12,596.34x = 18,856.19 × 8,402.77
  4. Step 4: Simplify right side
    12,596.34x = 158,444,272.22
  5. Step 5: Solve for x
    x = 158,444,272.22/12,596.34
  6. Step 6: Final answer
    x = 12,578.59

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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.