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Finding the Fourth Proportional to 13,825.71, 20,650.43 and 12,507.43

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Solution

The fourth proportional to 13,825.71, 20,650.43 and 12,507.43 is: 18,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.71 : 20,650.43 = 12,507.43 : x
  2. Step 2: Convert to fraction form
    13,825.71/20,650.43 = 12,507.43/x
  3. Step 3: Cross multiply
    13,825.71x = 20,650.43 × 12,507.43
  4. Step 4: Simplify right side
    13,825.71x = 258,283,807.69
  5. Step 5: Solve for x
    x = 258,283,807.69/13,825.71
  6. Step 6: Final answer
    x = 18,681.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.