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Finding the Fourth Proportional to 13,848.37, 20,737.76 and 8,561.63

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Solution

The fourth proportional to 13,848.37, 20,737.76 and 8,561.63 is: 12,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.37 : 20,737.76 = 8,561.63 : x
  2. Step 2: Convert to fraction form
    13,848.37/20,737.76 = 8,561.63/x
  3. Step 3: Cross multiply
    13,848.37x = 20,737.76 × 8,561.63
  4. Step 4: Simplify right side
    13,848.37x = 177,549,037.19
  5. Step 5: Solve for x
    x = 177,549,037.19/13,848.37
  6. Step 6: Final answer
    x = 12,820.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.