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Finding the Fourth Proportional to 13,901.48, 20,851.96 and 5,583.40

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Solution

The fourth proportional to 13,901.48, 20,851.96 and 5,583.40 is: 8,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.48 : 20,851.96 = 5,583.40 : x
  2. Step 2: Convert to fraction form
    13,901.48/20,851.96 = 5,583.40/x
  3. Step 3: Cross multiply
    13,901.48x = 20,851.96 × 5,583.40
  4. Step 4: Simplify right side
    13,901.48x = 116,424,833.46
  5. Step 5: Solve for x
    x = 116,424,833.46/13,901.48
  6. Step 6: Final answer
    x = 8,375.00

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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.