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Finding the Fourth Proportional to 12,298.76, 18,453.53 and 6,454.00

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Solution

The fourth proportional to 12,298.76, 18,453.53 and 6,454.00 is: 9,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.76 : 18,453.53 = 6,454.00 : x
  2. Step 2: Convert to fraction form
    12,298.76/18,453.53 = 6,454.00/x
  3. Step 3: Cross multiply
    12,298.76x = 18,453.53 × 6,454.00
  4. Step 4: Simplify right side
    12,298.76x = 119,099,052.62
  5. Step 5: Solve for x
    x = 119,099,052.62/12,298.76
  6. Step 6: Final answer
    x = 9,683.83

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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.