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Finding the Fourth Proportional to 10,160.86, 13,990.84 and 8,894.83

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Solution

The fourth proportional to 10,160.86, 13,990.84 and 8,894.83 is: 12,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.86 : 13,990.84 = 8,894.83 : x
  2. Step 2: Convert to fraction form
    10,160.86/13,990.84 = 8,894.83/x
  3. Step 3: Cross multiply
    10,160.86x = 13,990.84 × 8,894.83
  4. Step 4: Simplify right side
    10,160.86x = 124,446,143.36
  5. Step 5: Solve for x
    x = 124,446,143.36/10,160.86
  6. Step 6: Final answer
    x = 12,247.60

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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.