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Finding the Fourth Proportional to 13,808.15, 19,055.24 and 7,520.52

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Solution

The fourth proportional to 13,808.15, 19,055.24 and 7,520.52 is: 10,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.15 : 19,055.24 = 7,520.52 : x
  2. Step 2: Convert to fraction form
    13,808.15/19,055.24 = 7,520.52/x
  3. Step 3: Cross multiply
    13,808.15x = 19,055.24 × 7,520.52
  4. Step 4: Simplify right side
    13,808.15x = 143,305,375.58
  5. Step 5: Solve for x
    x = 143,305,375.58/13,808.15
  6. Step 6: Final answer
    x = 10,378.32

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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.