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Finding the Fourth Proportional to 13,642.74, 20,464.11 and 12,592.98

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Solution

The fourth proportional to 13,642.74, 20,464.11 and 12,592.98 is: 18,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.74 : 20,464.11 = 12,592.98 : x
  2. Step 2: Convert to fraction form
    13,642.74/20,464.11 = 12,592.98/x
  3. Step 3: Cross multiply
    13,642.74x = 20,464.11 × 12,592.98
  4. Step 4: Simplify right side
    13,642.74x = 257,704,127.95
  5. Step 5: Solve for x
    x = 257,704,127.95/13,642.74
  6. Step 6: Final answer
    x = 18,889.47

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1.5x scale

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.