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Finding the Fourth Proportional to 23,050, 31,809 and 13,114.64

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Solution

The fourth proportional to 23,050, 31,809 and 13,114.64 is: 18,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050 : 31,809 = 13,114.64 : x
  2. Step 2: Convert to fraction form
    23,050/31,809 = 13,114.64/x
  3. Step 3: Cross multiply
    23,050x = 31,809 × 13,114.64
  4. Step 4: Simplify right side
    23,050x = 417,163,583.76
  5. Step 5: Solve for x
    x = 417,163,583.76/23,050
  6. Step 6: Final answer
    x = 18,098.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.