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Finding the Fourth Proportional to 13,575.92, 18,734.64 and 7,607.84

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Solution

The fourth proportional to 13,575.92, 18,734.64 and 7,607.84 is: 10,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.92 : 18,734.64 = 7,607.84 : x
  2. Step 2: Convert to fraction form
    13,575.92/18,734.64 = 7,607.84/x
  3. Step 3: Cross multiply
    13,575.92x = 18,734.64 × 7,607.84
  4. Step 4: Simplify right side
    13,575.92x = 142,530,143.58
  5. Step 5: Solve for x
    x = 142,530,143.58/13,575.92
  6. Step 6: Final answer
    x = 10,498.75

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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.