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Finding the Fourth Proportional to 10,406, 14,367.21 and 6,158.42

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Solution

The fourth proportional to 10,406, 14,367.21 and 6,158.42 is: 8,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406 : 14,367.21 = 6,158.42 : x
  2. Step 2: Convert to fraction form
    10,406/14,367.21 = 6,158.42/x
  3. Step 3: Cross multiply
    10,406x = 14,367.21 × 6,158.42
  4. Step 4: Simplify right side
    10,406x = 88,479,313.41
  5. Step 5: Solve for x
    x = 88,479,313.41/10,406
  6. Step 6: Final answer
    x = 8,502.72

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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.