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Finding the Fourth Proportional to 13,663.56, 20,484.20 and 5,342.06

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Solution

The fourth proportional to 13,663.56, 20,484.20 and 5,342.06 is: 8,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.56 : 20,484.20 = 5,342.06 : x
  2. Step 2: Convert to fraction form
    13,663.56/20,484.20 = 5,342.06/x
  3. Step 3: Cross multiply
    13,663.56x = 20,484.20 × 5,342.06
  4. Step 4: Simplify right side
    13,663.56x = 109,427,825.45
  5. Step 5: Solve for x
    x = 109,427,825.45/13,663.56
  6. Step 6: Final answer
    x = 8,008.73

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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.