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Finding the Fourth Proportional to 13,600.25, 20,400.51 and 4,835.51

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Solution

The fourth proportional to 13,600.25, 20,400.51 and 4,835.51 is: 7,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.25 : 20,400.51 = 4,835.51 : x
  2. Step 2: Convert to fraction form
    13,600.25/20,400.51 = 4,835.51/x
  3. Step 3: Cross multiply
    13,600.25x = 20,400.51 × 4,835.51
  4. Step 4: Simplify right side
    13,600.25x = 98,646,870.11
  5. Step 5: Solve for x
    x = 98,646,870.11/13,600.25
  6. Step 6: Final answer
    x = 7,253.31

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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.