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Finding the Fourth Proportional to 13,509, 18,642.36 and 7,540.35

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Solution

The fourth proportional to 13,509, 18,642.36 and 7,540.35 is: 10,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509 : 18,642.36 = 7,540.35 : x
  2. Step 2: Convert to fraction form
    13,509/18,642.36 = 7,540.35/x
  3. Step 3: Cross multiply
    13,509x = 18,642.36 × 7,540.35
  4. Step 4: Simplify right side
    13,509x = 140,569,919.23
  5. Step 5: Solve for x
    x = 140,569,919.23/13,509
  6. Step 6: Final answer
    x = 10,405.65

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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.