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Finding the Fourth Proportional to 12,398.56, 18,565.48 and 6,840.24

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Solution

The fourth proportional to 12,398.56, 18,565.48 and 6,840.24 is: 10,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.56 : 18,565.48 = 6,840.24 : x
  2. Step 2: Convert to fraction form
    12,398.56/18,565.48 = 6,840.24/x
  3. Step 3: Cross multiply
    12,398.56x = 18,565.48 × 6,840.24
  4. Step 4: Simplify right side
    12,398.56x = 126,992,338.92
  5. Step 5: Solve for x
    x = 126,992,338.92/12,398.56
  6. Step 6: Final answer
    x = 10,242.51

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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.