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Finding the Fourth Proportional to 10,955.74, 16,447.74 and 9,405.71

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Solution

The fourth proportional to 10,955.74, 16,447.74 and 9,405.71 is: 14,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.74 : 16,447.74 = 9,405.71 : x
  2. Step 2: Convert to fraction form
    10,955.74/16,447.74 = 9,405.71/x
  3. Step 3: Cross multiply
    10,955.74x = 16,447.74 × 9,405.71
  4. Step 4: Simplify right side
    10,955.74x = 154,702,672.60
  5. Step 5: Solve for x
    x = 154,702,672.60/10,955.74
  6. Step 6: Final answer
    x = 14,120.70

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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.