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Finding the Fourth Proportional to 13,646.76, 18,832.90 and 7,678.64

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Solution

The fourth proportional to 13,646.76, 18,832.90 and 7,678.64 is: 10,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.76 : 18,832.90 = 7,678.64 : x
  2. Step 2: Convert to fraction form
    13,646.76/18,832.90 = 7,678.64/x
  3. Step 3: Cross multiply
    13,646.76x = 18,832.90 × 7,678.64
  4. Step 4: Simplify right side
    13,646.76x = 144,611,101.54
  5. Step 5: Solve for x
    x = 144,611,101.54/13,646.76
  6. Step 6: Final answer
    x = 10,596.73

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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.