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Finding the Fourth Proportional to 9,384.84, 12,956.22 and 6,405.12

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Solution

The fourth proportional to 9,384.84, 12,956.22 and 6,405.12 is: 8,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.84 : 12,956.22 = 6,405.12 : x
  2. Step 2: Convert to fraction form
    9,384.84/12,956.22 = 6,405.12/x
  3. Step 3: Cross multiply
    9,384.84x = 12,956.22 × 6,405.12
  4. Step 4: Simplify right side
    9,384.84x = 82,986,143.85
  5. Step 5: Solve for x
    x = 82,986,143.85/9,384.84
  6. Step 6: Final answer
    x = 8,842.57

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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.