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Finding the Fourth Proportional to 13,762.10, 20,643.15 and 12,811.70

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Solution

The fourth proportional to 13,762.10, 20,643.15 and 12,811.70 is: 19,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.10 : 20,643.15 = 12,811.70 : x
  2. Step 2: Convert to fraction form
    13,762.10/20,643.15 = 12,811.70/x
  3. Step 3: Cross multiply
    13,762.10x = 20,643.15 × 12,811.70
  4. Step 4: Simplify right side
    13,762.10x = 264,473,844.86
  5. Step 5: Solve for x
    x = 264,473,844.86/13,762.10
  6. Step 6: Final answer
    x = 19,217.55

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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.