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Finding the Fourth Proportional to 9,811.64, 13,527.06 and 8,126.84

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Solution

The fourth proportional to 9,811.64, 13,527.06 and 8,126.84 is: 11,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.64 : 13,527.06 = 8,126.84 : x
  2. Step 2: Convert to fraction form
    9,811.64/13,527.06 = 8,126.84/x
  3. Step 3: Cross multiply
    9,811.64x = 13,527.06 × 8,126.84
  4. Step 4: Simplify right side
    9,811.64x = 109,932,252.29
  5. Step 5: Solve for x
    x = 109,932,252.29/9,811.64
  6. Step 6: Final answer
    x = 11,204.27

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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.