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Finding the Fourth Proportional to 12,930.56, 17,842.08 and 7,624.64

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Solution

The fourth proportional to 12,930.56, 17,842.08 and 7,624.64 is: 10,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.56 : 17,842.08 = 7,624.64 : x
  2. Step 2: Convert to fraction form
    12,930.56/17,842.08 = 7,624.64/x
  3. Step 3: Cross multiply
    12,930.56x = 17,842.08 × 7,624.64
  4. Step 4: Simplify right side
    12,930.56x = 136,039,436.85
  5. Step 5: Solve for x
    x = 136,039,436.85/12,930.56
  6. Step 6: Final answer
    x = 10,520.77

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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.