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Finding the Fourth Proportional to 13,912.32, 20,848.98 and 6,499.20

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Solution

The fourth proportional to 13,912.32, 20,848.98 and 6,499.20 is: 9,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.32 : 20,848.98 = 6,499.20 : x
  2. Step 2: Convert to fraction form
    13,912.32/20,848.98 = 6,499.20/x
  3. Step 3: Cross multiply
    13,912.32x = 20,848.98 × 6,499.20
  4. Step 4: Simplify right side
    13,912.32x = 135,501,690.82
  5. Step 5: Solve for x
    x = 135,501,690.82/13,912.32
  6. Step 6: Final answer
    x = 9,739.69

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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.