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Finding the Fourth Proportional to 13,671.72, 20,510.46 and 4,437

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Solution

The fourth proportional to 13,671.72, 20,510.46 and 4,437 is: 6,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.72 : 20,510.46 = 4,437 : x
  2. Step 2: Convert to fraction form
    13,671.72/20,510.46 = 4,437/x
  3. Step 3: Cross multiply
    13,671.72x = 20,510.46 × 4,437
  4. Step 4: Simplify right side
    13,671.72x = 91,004,911.02
  5. Step 5: Solve for x
    x = 91,004,911.02/13,671.72
  6. Step 6: Final answer
    x = 6,656.43

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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.