Home / 21,114-31,648.14-13,723.74

Finding the Fourth Proportional to 21,114, 31,648.14 and 13,723.74

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Solution

The fourth proportional to 21,114, 31,648.14 and 13,723.74 is: 20,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114 : 31,648.14 = 13,723.74 : x
  2. Step 2: Convert to fraction form
    21,114/31,648.14 = 13,723.74/x
  3. Step 3: Cross multiply
    21,114x = 31,648.14 × 13,723.74
  4. Step 4: Simplify right side
    21,114x = 434,330,844.84
  5. Step 5: Solve for x
    x = 434,330,844.84/21,114
  6. Step 6: Final answer
    x = 20,570.75

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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.