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Finding the Fourth Proportional to 13,411.62, 20,116.53 and 4,051.89

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Solution

The fourth proportional to 13,411.62, 20,116.53 and 4,051.89 is: 6,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.62 : 20,116.53 = 4,051.89 : x
  2. Step 2: Convert to fraction form
    13,411.62/20,116.53 = 4,051.89/x
  3. Step 3: Cross multiply
    13,411.62x = 20,116.53 × 4,051.89
  4. Step 4: Simplify right side
    13,411.62x = 81,509,966.74
  5. Step 5: Solve for x
    x = 81,509,966.74/13,411.62
  6. Step 6: Final answer
    x = 6,077.56

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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.