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Finding the Fourth Proportional to 8,953.96, 13,429.70 and 2,380.68

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Solution

The fourth proportional to 8,953.96, 13,429.70 and 2,380.68 is: 3,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.96 : 13,429.70 = 2,380.68 : x
  2. Step 2: Convert to fraction form
    8,953.96/13,429.70 = 2,380.68/x
  3. Step 3: Cross multiply
    8,953.96x = 13,429.70 × 2,380.68
  4. Step 4: Simplify right side
    8,953.96x = 31,971,818.20
  5. Step 5: Solve for x
    x = 31,971,818.20/8,953.96
  6. Step 6: Final answer
    x = 3,570.69

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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.