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Finding the Fourth Proportional to 13,887.80, 20,807.43 and 11,562.74

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Solution

The fourth proportional to 13,887.80, 20,807.43 and 11,562.74 is: 17,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.80 : 20,807.43 = 11,562.74 : x
  2. Step 2: Convert to fraction form
    13,887.80/20,807.43 = 11,562.74/x
  3. Step 3: Cross multiply
    13,887.80x = 20,807.43 × 11,562.74
  4. Step 4: Simplify right side
    13,887.80x = 240,590,799.12
  5. Step 5: Solve for x
    x = 240,590,799.12/13,887.80
  6. Step 6: Final answer
    x = 17,323.90

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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.