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Finding the Fourth Proportional to 12,655.58, 18,994.97 and 6,419.93

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Solution

The fourth proportional to 12,655.58, 18,994.97 and 6,419.93 is: 9,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.58 : 18,994.97 = 6,419.93 : x
  2. Step 2: Convert to fraction form
    12,655.58/18,994.97 = 6,419.93/x
  3. Step 3: Cross multiply
    12,655.58x = 18,994.97 × 6,419.93
  4. Step 4: Simplify right side
    12,655.58x = 121,946,298.83
  5. Step 5: Solve for x
    x = 121,946,298.83/12,655.58
  6. Step 6: Final answer
    x = 9,635.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.