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Finding the Fourth Proportional to 13,509.99, 18,644.72 and 7,542.59

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Solution

The fourth proportional to 13,509.99, 18,644.72 and 7,542.59 is: 10,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.99 : 18,644.72 = 7,542.59 : x
  2. Step 2: Convert to fraction form
    13,509.99/18,644.72 = 7,542.59/x
  3. Step 3: Cross multiply
    13,509.99x = 18,644.72 × 7,542.59
  4. Step 4: Simplify right side
    13,509.99x = 140,629,347.69
  5. Step 5: Solve for x
    x = 140,629,347.69/13,509.99
  6. Step 6: Final answer
    x = 10,409.29

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Half scale
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Double scale
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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.