Home / 21,409-29,534.44-13,857.76

Finding the Fourth Proportional to 21,409, 29,534.44 and 13,857.76

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Solution

The fourth proportional to 21,409, 29,534.44 and 13,857.76 is: 19,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409 : 29,534.44 = 13,857.76 : x
  2. Step 2: Convert to fraction form
    21,409/29,534.44 = 13,857.76/x
  3. Step 3: Cross multiply
    21,409x = 29,534.44 × 13,857.76
  4. Step 4: Simplify right side
    21,409x = 409,281,181.25
  5. Step 5: Solve for x
    x = 409,281,181.25/21,409
  6. Step 6: Final answer
    x = 19,117.25

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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.