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Finding the Fourth Proportional to 13,803.12, 20,704.74 and 5,038.74

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Solution

The fourth proportional to 13,803.12, 20,704.74 and 5,038.74 is: 7,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.12 : 20,704.74 = 5,038.74 : x
  2. Step 2: Convert to fraction form
    13,803.12/20,704.74 = 5,038.74/x
  3. Step 3: Cross multiply
    13,803.12x = 20,704.74 × 5,038.74
  4. Step 4: Simplify right side
    13,803.12x = 104,325,801.63
  5. Step 5: Solve for x
    x = 104,325,801.63/13,803.12
  6. Step 6: Final answer
    x = 7,558.13

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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.