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Finding the Fourth Proportional to 12,398.62, 18,596.31 and 5,471.50

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Solution

The fourth proportional to 12,398.62, 18,596.31 and 5,471.50 is: 8,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.62 : 18,596.31 = 5,471.50 : x
  2. Step 2: Convert to fraction form
    12,398.62/18,596.31 = 5,471.50/x
  3. Step 3: Cross multiply
    12,398.62x = 18,596.31 × 5,471.50
  4. Step 4: Simplify right side
    12,398.62x = 101,749,710.17
  5. Step 5: Solve for x
    x = 101,749,710.17/12,398.62
  6. Step 6: Final answer
    x = 8,206.54

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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.