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Finding the Fourth Proportional to 12,474.96, 18,655.60 and 9,314.61

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Solution

The fourth proportional to 12,474.96, 18,655.60 and 9,314.61 is: 13,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.96 : 18,655.60 = 9,314.61 : x
  2. Step 2: Convert to fraction form
    12,474.96/18,655.60 = 9,314.61/x
  3. Step 3: Cross multiply
    12,474.96x = 18,655.60 × 9,314.61
  4. Step 4: Simplify right side
    12,474.96x = 173,769,638.32
  5. Step 5: Solve for x
    x = 173,769,638.32/12,474.96
  6. Step 6: Final answer
    x = 13,929.47

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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.