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Finding the Fourth Proportional to 13,431.51, 20,142 and 7,886.25

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Solution

The fourth proportional to 13,431.51, 20,142 and 7,886.25 is: 11,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.51 : 20,142 = 7,886.25 : x
  2. Step 2: Convert to fraction form
    13,431.51/20,142 = 7,886.25/x
  3. Step 3: Cross multiply
    13,431.51x = 20,142 × 7,886.25
  4. Step 4: Simplify right side
    13,431.51x = 158,844,847.50
  5. Step 5: Solve for x
    x = 158,844,847.50/13,431.51
  6. Step 6: Final answer
    x = 11,826.28

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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.