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Finding the Fourth Proportional to 13,980.88, 20,971.32 and 11,510.51

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Solution

The fourth proportional to 13,980.88, 20,971.32 and 11,510.51 is: 17,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.88 : 20,971.32 = 11,510.51 : x
  2. Step 2: Convert to fraction form
    13,980.88/20,971.32 = 11,510.51/x
  3. Step 3: Cross multiply
    13,980.88x = 20,971.32 × 11,510.51
  4. Step 4: Simplify right side
    13,980.88x = 241,390,507.97
  5. Step 5: Solve for x
    x = 241,390,507.97/13,980.88
  6. Step 6: Final answer
    x = 17,265.76

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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.