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Finding the Fourth Proportional to 13,602.80, 20,400.09 and 4,837.25

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Solution

The fourth proportional to 13,602.80, 20,400.09 and 4,837.25 is: 7,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.80 : 20,400.09 = 4,837.25 : x
  2. Step 2: Convert to fraction form
    13,602.80/20,400.09 = 4,837.25/x
  3. Step 3: Cross multiply
    13,602.80x = 20,400.09 × 4,837.25
  4. Step 4: Simplify right side
    13,602.80x = 98,680,368.21
  5. Step 5: Solve for x
    x = 98,680,368.21/13,602.80
  6. Step 6: Final answer
    x = 7,254.41

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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.