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Finding the Fourth Proportional to 13,107.52, 18,101.23 and 11,208.14

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Solution

The fourth proportional to 13,107.52, 18,101.23 and 11,208.14 is: 15,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.52 : 18,101.23 = 11,208.14 : x
  2. Step 2: Convert to fraction form
    13,107.52/18,101.23 = 11,208.14/x
  3. Step 3: Cross multiply
    13,107.52x = 18,101.23 × 11,208.14
  4. Step 4: Simplify right side
    13,107.52x = 202,881,120.01
  5. Step 5: Solve for x
    x = 202,881,120.01/13,107.52
  6. Step 6: Final answer
    x = 15,478.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.