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Finding the Fourth Proportional to 13,541.16, 20,311.71 and 3,681.87

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Solution

The fourth proportional to 13,541.16, 20,311.71 and 3,681.87 is: 5,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541.16 : 20,311.71 = 3,681.87 : x
  2. Step 2: Convert to fraction form
    13,541.16/20,311.71 = 3,681.87/x
  3. Step 3: Cross multiply
    13,541.16x = 20,311.71 × 3,681.87
  4. Step 4: Simplify right side
    13,541.16x = 74,785,075.70
  5. Step 5: Solve for x
    x = 74,785,075.70/13,541.16
  6. Step 6: Final answer
    x = 5,522.80

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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.