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Finding the Fourth Proportional to 13,509.50, 18,645.28 and 7,920.50

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Solution

The fourth proportional to 13,509.50, 18,645.28 and 7,920.50 is: 10,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.50 : 18,645.28 = 7,920.50 : x
  2. Step 2: Convert to fraction form
    13,509.50/18,645.28 = 7,920.50/x
  3. Step 3: Cross multiply
    13,509.50x = 18,645.28 × 7,920.50
  4. Step 4: Simplify right side
    13,509.50x = 147,679,940.24
  5. Step 5: Solve for x
    x = 147,679,940.24/13,509.50
  6. Step 6: Final answer
    x = 10,931.56

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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.