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Finding the Fourth Proportional to 8,904.14, 13,423.83 and 8,427.86

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Solution

The fourth proportional to 8,904.14, 13,423.83 and 8,427.86 is: 12,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,904.14 : 13,423.83 = 8,427.86 : x
  2. Step 2: Convert to fraction form
    8,904.14/13,423.83 = 8,427.86/x
  3. Step 3: Cross multiply
    8,904.14x = 13,423.83 × 8,427.86
  4. Step 4: Simplify right side
    8,904.14x = 113,134,117.76
  5. Step 5: Solve for x
    x = 113,134,117.76/8,904.14
  6. Step 6: Final answer
    x = 12,705.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.