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Finding the Fourth Proportional to 12,624.92, 17,438.80 and 10,243.72

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Solution

The fourth proportional to 12,624.92, 17,438.80 and 10,243.72 is: 14,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,624.92 : 17,438.80 = 10,243.72 : x
  2. Step 2: Convert to fraction form
    12,624.92/17,438.80 = 10,243.72/x
  3. Step 3: Cross multiply
    12,624.92x = 17,438.80 × 10,243.72
  4. Step 4: Simplify right side
    12,624.92x = 178,638,184.34
  5. Step 5: Solve for x
    x = 178,638,184.34/12,624.92
  6. Step 6: Final answer
    x = 14,149.65

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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.