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Finding the Fourth Proportional to 13,509.24, 18,644.40 and 7,920.24

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Solution

The fourth proportional to 13,509.24, 18,644.40 and 7,920.24 is: 10,930.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.24 : 18,644.40 = 7,920.24 : x
  2. Step 2: Convert to fraction form
    13,509.24/18,644.40 = 7,920.24/x
  3. Step 3: Cross multiply
    13,509.24x = 18,644.40 × 7,920.24
  4. Step 4: Simplify right side
    13,509.24x = 147,668,122.66
  5. Step 5: Solve for x
    x = 147,668,122.66/13,509.24
  6. Step 6: Final answer
    x = 10,930.90

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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.