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Finding the Fourth Proportional to 13,409.74, 20,114.63 and 4,644.66

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Solution

The fourth proportional to 13,409.74, 20,114.63 and 4,644.66 is: 6,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.74 : 20,114.63 = 4,644.66 : x
  2. Step 2: Convert to fraction form
    13,409.74/20,114.63 = 4,644.66/x
  3. Step 3: Cross multiply
    13,409.74x = 20,114.63 × 4,644.66
  4. Step 4: Simplify right side
    13,409.74x = 93,425,593.45
  5. Step 5: Solve for x
    x = 93,425,593.45/13,409.74
  6. Step 6: Final answer
    x = 6,966.99

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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.