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Finding the Fourth Proportional to 13,671.71, 20,510.30 and 4,312.60

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Solution

The fourth proportional to 13,671.71, 20,510.30 and 4,312.60 is: 6,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.71 : 20,510.30 = 4,312.60 : x
  2. Step 2: Convert to fraction form
    13,671.71/20,510.30 = 4,312.60/x
  3. Step 3: Cross multiply
    13,671.71x = 20,510.30 × 4,312.60
  4. Step 4: Simplify right side
    13,671.71x = 88,452,817.43
  5. Step 5: Solve for x
    x = 88,452,817.43/13,671.71
  6. Step 6: Final answer
    x = 6,469.77

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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.