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Finding the Fourth Proportional to 8,957.21, 13,435.80 and 3,113.81

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Solution

The fourth proportional to 8,957.21, 13,435.80 and 3,113.81 is: 4,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.21 : 13,435.80 = 3,113.81 : x
  2. Step 2: Convert to fraction form
    8,957.21/13,435.80 = 3,113.81/x
  3. Step 3: Cross multiply
    8,957.21x = 13,435.80 × 3,113.81
  4. Step 4: Simplify right side
    8,957.21x = 41,836,573.66
  5. Step 5: Solve for x
    x = 41,836,573.66/8,957.21
  6. Step 6: Final answer
    x = 4,670.72

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Why These Related Problems?

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