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Finding the Fourth Proportional to 13,381.80, 20,072.08 and 5,590

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Solution

The fourth proportional to 13,381.80, 20,072.08 and 5,590 is: 8,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.80 : 20,072.08 = 5,590 : x
  2. Step 2: Convert to fraction form
    13,381.80/20,072.08 = 5,590/x
  3. Step 3: Cross multiply
    13,381.80x = 20,072.08 × 5,590
  4. Step 4: Simplify right side
    13,381.80x = 112,202,927.20
  5. Step 5: Solve for x
    x = 112,202,927.20/13,381.80
  6. Step 6: Final answer
    x = 8,384.74

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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.